# OCME · Knowledge & practice explorer

302 MKO / 1,441 families / 360 batches / 36,000 questions.

36,000 second-context math/bilingual reviewed; 0 display/symbol-checked candidates. Source questions: candidate. English: ai_candidate. No new proof, Lean, SREG or training.

25 results; page 1/1.

## Question 18826: Exact Quotient-Remainder Steps and Strict Descent Are Both Required

- ID: `q-20261014-advance-20261105-r03-euclidean-algorithm-0001`; number: 18826
- Processing: second_context_reviewed
- MKO: [mko-euclidean-algorithm](/en/mko/mko-euclidean-algorithm/)
- Family: [qf-mod36-euclid-division-chain](/en/explore/?family=qf-mod36-euclid-division-chain)
- Batch: [batch-20261014-advance-20261105-r03-euclidean-algorithm-foundations](/en/explore/?batch=batch-20261014-advance-20261105-r03-euclidean-algorithm-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261105-r03-euclidean-algorithm-0001/) / [Markdown](/en/questions/q-20261014-advance-20261105-r03-euclidean-algorithm-0001/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261105-r03-euclidean-algorithm-0001.json)

## Question 18827: Exact Quotient-Remainder Steps and Strict Descent Are Both Required

- ID: `q-20261014-advance-20261105-r03-euclidean-algorithm-0002`; number: 18827
- Processing: second_context_reviewed
- MKO: [mko-euclidean-algorithm](/en/mko/mko-euclidean-algorithm/)
- Family: [qf-mod36-euclid-division-chain](/en/explore/?family=qf-mod36-euclid-division-chain)
- Batch: [batch-20261014-advance-20261105-r03-euclidean-algorithm-foundations](/en/explore/?batch=batch-20261014-advance-20261105-r03-euclidean-algorithm-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261105-r03-euclidean-algorithm-0002/) / [Markdown](/en/questions/q-20261014-advance-20261105-r03-euclidean-algorithm-0002/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261105-r03-euclidean-algorithm-0002.json)

## Question 18828: Exact Quotient-Remainder Steps and Strict Descent Are Both Required

- ID: `q-20261014-advance-20261105-r03-euclidean-algorithm-0003`; number: 18828
- Processing: second_context_reviewed
- MKO: [mko-euclidean-algorithm](/en/mko/mko-euclidean-algorithm/)
- Family: [qf-mod36-euclid-division-chain](/en/explore/?family=qf-mod36-euclid-division-chain)
- Batch: [batch-20261014-advance-20261105-r03-euclidean-algorithm-foundations](/en/explore/?batch=batch-20261014-advance-20261105-r03-euclidean-algorithm-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261105-r03-euclidean-algorithm-0003/) / [Markdown](/en/questions/q-20261014-advance-20261105-r03-euclidean-algorithm-0003/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261105-r03-euclidean-algorithm-0003.json)

## Question 18829: Exact Quotient-Remainder Steps and Strict Descent Are Both Required

- ID: `q-20261014-advance-20261105-r03-euclidean-algorithm-0004`; number: 18829
- Processing: second_context_reviewed
- MKO: [mko-euclidean-algorithm](/en/mko/mko-euclidean-algorithm/)
- Family: [qf-mod36-euclid-division-chain](/en/explore/?family=qf-mod36-euclid-division-chain)
- Batch: [batch-20261014-advance-20261105-r03-euclidean-algorithm-foundations](/en/explore/?batch=batch-20261014-advance-20261105-r03-euclidean-algorithm-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261105-r03-euclidean-algorithm-0004/) / [Markdown](/en/questions/q-20261014-advance-20261105-r03-euclidean-algorithm-0004/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261105-r03-euclidean-algorithm-0004.json)

## Question 18830: Exact Quotient-Remainder Steps and Strict Descent Are Both Required

- ID: `q-20261014-advance-20261105-r03-euclidean-algorithm-0005`; number: 18830
- Processing: second_context_reviewed
- MKO: [mko-euclidean-algorithm](/en/mko/mko-euclidean-algorithm/)
- Family: [qf-mod36-euclid-division-chain](/en/explore/?family=qf-mod36-euclid-division-chain)
- Batch: [batch-20261014-advance-20261105-r03-euclidean-algorithm-foundations](/en/explore/?batch=batch-20261014-advance-20261105-r03-euclidean-algorithm-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261105-r03-euclidean-algorithm-0005/) / [Markdown](/en/questions/q-20261014-advance-20261105-r03-euclidean-algorithm-0005/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261105-r03-euclidean-algorithm-0005.json)

## Question 18831: Exact Quotient-Remainder Steps and Strict Descent Are Both Required

- ID: `q-20261014-advance-20261105-r03-euclidean-algorithm-0006`; number: 18831
- Processing: second_context_reviewed
- MKO: [mko-euclidean-algorithm](/en/mko/mko-euclidean-algorithm/)
- Family: [qf-mod36-euclid-division-chain](/en/explore/?family=qf-mod36-euclid-division-chain)
- Batch: [batch-20261014-advance-20261105-r03-euclidean-algorithm-foundations](/en/explore/?batch=batch-20261014-advance-20261105-r03-euclidean-algorithm-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261105-r03-euclidean-algorithm-0006/) / [Markdown](/en/questions/q-20261014-advance-20261105-r03-euclidean-algorithm-0006/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261105-r03-euclidean-algorithm-0006.json)

## Question 18832: Exact Quotient-Remainder Steps and Strict Descent Are Both Required

- ID: `q-20261014-advance-20261105-r03-euclidean-algorithm-0007`; number: 18832
- Processing: second_context_reviewed
- MKO: [mko-euclidean-algorithm](/en/mko/mko-euclidean-algorithm/)
- Family: [qf-mod36-euclid-division-chain](/en/explore/?family=qf-mod36-euclid-division-chain)
- Batch: [batch-20261014-advance-20261105-r03-euclidean-algorithm-foundations](/en/explore/?batch=batch-20261014-advance-20261105-r03-euclidean-algorithm-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261105-r03-euclidean-algorithm-0007/) / [Markdown](/en/questions/q-20261014-advance-20261105-r03-euclidean-algorithm-0007/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261105-r03-euclidean-algorithm-0007.json)

## Question 18833: Exact Quotient-Remainder Steps and Strict Descent Are Both Required

- ID: `q-20261014-advance-20261105-r03-euclidean-algorithm-0008`; number: 18833
- Processing: second_context_reviewed
- MKO: [mko-euclidean-algorithm](/en/mko/mko-euclidean-algorithm/)
- Family: [qf-mod36-euclid-division-chain](/en/explore/?family=qf-mod36-euclid-division-chain)
- Batch: [batch-20261014-advance-20261105-r03-euclidean-algorithm-foundations](/en/explore/?batch=batch-20261014-advance-20261105-r03-euclidean-algorithm-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261105-r03-euclidean-algorithm-0008/) / [Markdown](/en/questions/q-20261014-advance-20261105-r03-euclidean-algorithm-0008/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261105-r03-euclidean-algorithm-0008.json)

## Question 18834: Exact Quotient-Remainder Steps and Strict Descent Are Both Required

- ID: `q-20261014-advance-20261105-r03-euclidean-algorithm-0009`; number: 18834
- Processing: second_context_reviewed
- MKO: [mko-euclidean-algorithm](/en/mko/mko-euclidean-algorithm/)
- Family: [qf-mod36-euclid-division-chain](/en/explore/?family=qf-mod36-euclid-division-chain)
- Batch: [batch-20261014-advance-20261105-r03-euclidean-algorithm-foundations](/en/explore/?batch=batch-20261014-advance-20261105-r03-euclidean-algorithm-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261105-r03-euclidean-algorithm-0009/) / [Markdown](/en/questions/q-20261014-advance-20261105-r03-euclidean-algorithm-0009/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261105-r03-euclidean-algorithm-0009.json)

## Question 18835: Exact Quotient-Remainder Steps and Strict Descent Are Both Required

- ID: `q-20261014-advance-20261105-r03-euclidean-algorithm-0010`; number: 18835
- Processing: second_context_reviewed
- MKO: [mko-euclidean-algorithm](/en/mko/mko-euclidean-algorithm/)
- Family: [qf-mod36-euclid-division-chain](/en/explore/?family=qf-mod36-euclid-division-chain)
- Batch: [batch-20261014-advance-20261105-r03-euclidean-algorithm-foundations](/en/explore/?batch=batch-20261014-advance-20261105-r03-euclidean-algorithm-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261105-r03-euclidean-algorithm-0010/) / [Markdown](/en/questions/q-20261014-advance-20261105-r03-euclidean-algorithm-0010/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261105-r03-euclidean-algorithm-0010.json)

## Question 18836: Exact Quotient-Remainder Steps and Strict Descent Are Both Required

- ID: `q-20261014-advance-20261105-r03-euclidean-algorithm-0011`; number: 18836
- Processing: second_context_reviewed
- MKO: [mko-euclidean-algorithm](/en/mko/mko-euclidean-algorithm/)
- Family: [qf-mod36-euclid-division-chain](/en/explore/?family=qf-mod36-euclid-division-chain)
- Batch: [batch-20261014-advance-20261105-r03-euclidean-algorithm-foundations](/en/explore/?batch=batch-20261014-advance-20261105-r03-euclidean-algorithm-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261105-r03-euclidean-algorithm-0011/) / [Markdown](/en/questions/q-20261014-advance-20261105-r03-euclidean-algorithm-0011/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261105-r03-euclidean-algorithm-0011.json)

## Question 18837: Exact Quotient-Remainder Steps and Strict Descent Are Both Required

- ID: `q-20261014-advance-20261105-r03-euclidean-algorithm-0012`; number: 18837
- Processing: second_context_reviewed
- MKO: [mko-euclidean-algorithm](/en/mko/mko-euclidean-algorithm/)
- Family: [qf-mod36-euclid-division-chain](/en/explore/?family=qf-mod36-euclid-division-chain)
- Batch: [batch-20261014-advance-20261105-r03-euclidean-algorithm-foundations](/en/explore/?batch=batch-20261014-advance-20261105-r03-euclidean-algorithm-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261105-r03-euclidean-algorithm-0012/) / [Markdown](/en/questions/q-20261014-advance-20261105-r03-euclidean-algorithm-0012/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261105-r03-euclidean-algorithm-0012.json)

## Question 18838: Exact Quotient-Remainder Steps and Strict Descent Are Both Required

- ID: `q-20261014-advance-20261105-r03-euclidean-algorithm-0013`; number: 18838
- Processing: second_context_reviewed
- MKO: [mko-euclidean-algorithm](/en/mko/mko-euclidean-algorithm/)
- Family: [qf-mod36-euclid-division-chain](/en/explore/?family=qf-mod36-euclid-division-chain)
- Batch: [batch-20261014-advance-20261105-r03-euclidean-algorithm-foundations](/en/explore/?batch=batch-20261014-advance-20261105-r03-euclidean-algorithm-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261105-r03-euclidean-algorithm-0013/) / [Markdown](/en/questions/q-20261014-advance-20261105-r03-euclidean-algorithm-0013/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261105-r03-euclidean-algorithm-0013.json)

## Question 18839: Exact Quotient-Remainder Steps and Strict Descent Are Both Required

- ID: `q-20261014-advance-20261105-r03-euclidean-algorithm-0014`; number: 18839
- Processing: second_context_reviewed
- MKO: [mko-euclidean-algorithm](/en/mko/mko-euclidean-algorithm/)
- Family: [qf-mod36-euclid-division-chain](/en/explore/?family=qf-mod36-euclid-division-chain)
- Batch: [batch-20261014-advance-20261105-r03-euclidean-algorithm-foundations](/en/explore/?batch=batch-20261014-advance-20261105-r03-euclidean-algorithm-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261105-r03-euclidean-algorithm-0014/) / [Markdown](/en/questions/q-20261014-advance-20261105-r03-euclidean-algorithm-0014/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261105-r03-euclidean-algorithm-0014.json)

## Question 18840: Exact Quotient-Remainder Steps and Strict Descent Are Both Required

- ID: `q-20261014-advance-20261105-r03-euclidean-algorithm-0015`; number: 18840
- Processing: second_context_reviewed
- MKO: [mko-euclidean-algorithm](/en/mko/mko-euclidean-algorithm/)
- Family: [qf-mod36-euclid-division-chain](/en/explore/?family=qf-mod36-euclid-division-chain)
- Batch: [batch-20261014-advance-20261105-r03-euclidean-algorithm-foundations](/en/explore/?batch=batch-20261014-advance-20261105-r03-euclidean-algorithm-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261105-r03-euclidean-algorithm-0015/) / [Markdown](/en/questions/q-20261014-advance-20261105-r03-euclidean-algorithm-0015/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261105-r03-euclidean-algorithm-0015.json)

## Question 18841: Exact Quotient-Remainder Steps and Strict Descent Are Both Required

- ID: `q-20261014-advance-20261105-r03-euclidean-algorithm-0016`; number: 18841
- Processing: second_context_reviewed
- MKO: [mko-euclidean-algorithm](/en/mko/mko-euclidean-algorithm/)
- Family: [qf-mod36-euclid-division-chain](/en/explore/?family=qf-mod36-euclid-division-chain)
- Batch: [batch-20261014-advance-20261105-r03-euclidean-algorithm-foundations](/en/explore/?batch=batch-20261014-advance-20261105-r03-euclidean-algorithm-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261105-r03-euclidean-algorithm-0016/) / [Markdown](/en/questions/q-20261014-advance-20261105-r03-euclidean-algorithm-0016/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261105-r03-euclidean-algorithm-0016.json)

## Question 18842: Exact Quotient-Remainder Steps and Strict Descent Are Both Required

- ID: `q-20261014-advance-20261105-r03-euclidean-algorithm-0017`; number: 18842
- Processing: second_context_reviewed
- MKO: [mko-euclidean-algorithm](/en/mko/mko-euclidean-algorithm/)
- Family: [qf-mod36-euclid-division-chain](/en/explore/?family=qf-mod36-euclid-division-chain)
- Batch: [batch-20261014-advance-20261105-r03-euclidean-algorithm-foundations](/en/explore/?batch=batch-20261014-advance-20261105-r03-euclidean-algorithm-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261105-r03-euclidean-algorithm-0017/) / [Markdown](/en/questions/q-20261014-advance-20261105-r03-euclidean-algorithm-0017/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261105-r03-euclidean-algorithm-0017.json)

## Question 18843: Exact Quotient-Remainder Steps and Strict Descent Are Both Required

- ID: `q-20261014-advance-20261105-r03-euclidean-algorithm-0018`; number: 18843
- Processing: second_context_reviewed
- MKO: [mko-euclidean-algorithm](/en/mko/mko-euclidean-algorithm/)
- Family: [qf-mod36-euclid-division-chain](/en/explore/?family=qf-mod36-euclid-division-chain)
- Batch: [batch-20261014-advance-20261105-r03-euclidean-algorithm-foundations](/en/explore/?batch=batch-20261014-advance-20261105-r03-euclidean-algorithm-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261105-r03-euclidean-algorithm-0018/) / [Markdown](/en/questions/q-20261014-advance-20261105-r03-euclidean-algorithm-0018/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261105-r03-euclidean-algorithm-0018.json)

## Question 18844: Exact Quotient-Remainder Steps and Strict Descent Are Both Required

- ID: `q-20261014-advance-20261105-r03-euclidean-algorithm-0019`; number: 18844
- Processing: second_context_reviewed
- MKO: [mko-euclidean-algorithm](/en/mko/mko-euclidean-algorithm/)
- Family: [qf-mod36-euclid-division-chain](/en/explore/?family=qf-mod36-euclid-division-chain)
- Batch: [batch-20261014-advance-20261105-r03-euclidean-algorithm-foundations](/en/explore/?batch=batch-20261014-advance-20261105-r03-euclidean-algorithm-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261105-r03-euclidean-algorithm-0019/) / [Markdown](/en/questions/q-20261014-advance-20261105-r03-euclidean-algorithm-0019/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261105-r03-euclidean-algorithm-0019.json)

## Question 18845: Exact Quotient-Remainder Steps and Strict Descent Are Both Required

- ID: `q-20261014-advance-20261105-r03-euclidean-algorithm-0020`; number: 18845
- Processing: second_context_reviewed
- MKO: [mko-euclidean-algorithm](/en/mko/mko-euclidean-algorithm/)
- Family: [qf-mod36-euclid-division-chain](/en/explore/?family=qf-mod36-euclid-division-chain)
- Batch: [batch-20261014-advance-20261105-r03-euclidean-algorithm-foundations](/en/explore/?batch=batch-20261014-advance-20261105-r03-euclidean-algorithm-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261105-r03-euclidean-algorithm-0020/) / [Markdown](/en/questions/q-20261014-advance-20261105-r03-euclidean-algorithm-0020/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261105-r03-euclidean-algorithm-0020.json)

## Question 18846: Exact Quotient-Remainder Steps and Strict Descent Are Both Required

- ID: `q-20261014-advance-20261105-r03-euclidean-algorithm-0021`; number: 18846
- Processing: second_context_reviewed
- MKO: [mko-euclidean-algorithm](/en/mko/mko-euclidean-algorithm/)
- Family: [qf-mod36-euclid-division-chain](/en/explore/?family=qf-mod36-euclid-division-chain)
- Batch: [batch-20261014-advance-20261105-r03-euclidean-algorithm-foundations](/en/explore/?batch=batch-20261014-advance-20261105-r03-euclidean-algorithm-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261105-r03-euclidean-algorithm-0021/) / [Markdown](/en/questions/q-20261014-advance-20261105-r03-euclidean-algorithm-0021/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261105-r03-euclidean-algorithm-0021.json)

## Question 18847: Exact Quotient-Remainder Steps and Strict Descent Are Both Required

- ID: `q-20261014-advance-20261105-r03-euclidean-algorithm-0022`; number: 18847
- Processing: second_context_reviewed
- MKO: [mko-euclidean-algorithm](/en/mko/mko-euclidean-algorithm/)
- Family: [qf-mod36-euclid-division-chain](/en/explore/?family=qf-mod36-euclid-division-chain)
- Batch: [batch-20261014-advance-20261105-r03-euclidean-algorithm-foundations](/en/explore/?batch=batch-20261014-advance-20261105-r03-euclidean-algorithm-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261105-r03-euclidean-algorithm-0022/) / [Markdown](/en/questions/q-20261014-advance-20261105-r03-euclidean-algorithm-0022/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261105-r03-euclidean-algorithm-0022.json)

## Question 18848: Exact Quotient-Remainder Steps and Strict Descent Are Both Required

- ID: `q-20261014-advance-20261105-r03-euclidean-algorithm-0023`; number: 18848
- Processing: second_context_reviewed
- MKO: [mko-euclidean-algorithm](/en/mko/mko-euclidean-algorithm/)
- Family: [qf-mod36-euclid-division-chain](/en/explore/?family=qf-mod36-euclid-division-chain)
- Batch: [batch-20261014-advance-20261105-r03-euclidean-algorithm-foundations](/en/explore/?batch=batch-20261014-advance-20261105-r03-euclidean-algorithm-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261105-r03-euclidean-algorithm-0023/) / [Markdown](/en/questions/q-20261014-advance-20261105-r03-euclidean-algorithm-0023/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261105-r03-euclidean-algorithm-0023.json)

## Question 18849: Exact Quotient-Remainder Steps and Strict Descent Are Both Required

- ID: `q-20261014-advance-20261105-r03-euclidean-algorithm-0024`; number: 18849
- Processing: second_context_reviewed
- MKO: [mko-euclidean-algorithm](/en/mko/mko-euclidean-algorithm/)
- Family: [qf-mod36-euclid-division-chain](/en/explore/?family=qf-mod36-euclid-division-chain)
- Batch: [batch-20261014-advance-20261105-r03-euclidean-algorithm-foundations](/en/explore/?batch=batch-20261014-advance-20261105-r03-euclidean-algorithm-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261105-r03-euclidean-algorithm-0024/) / [Markdown](/en/questions/q-20261014-advance-20261105-r03-euclidean-algorithm-0024/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261105-r03-euclidean-algorithm-0024.json)

## Question 18850: Exact Quotient-Remainder Steps and Strict Descent Are Both Required

- ID: `q-20261014-advance-20261105-r03-euclidean-algorithm-0025`; number: 18850
- Processing: second_context_reviewed
- MKO: [mko-euclidean-algorithm](/en/mko/mko-euclidean-algorithm/)
- Family: [qf-mod36-euclid-division-chain](/en/explore/?family=qf-mod36-euclid-division-chain)
- Batch: [batch-20261014-advance-20261105-r03-euclidean-algorithm-foundations](/en/explore/?batch=batch-20261014-advance-20261105-r03-euclidean-algorithm-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261105-r03-euclidean-algorithm-0025/) / [Markdown](/en/questions/q-20261014-advance-20261105-r03-euclidean-algorithm-0025/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261105-r03-euclidean-algorithm-0025.json)

