# Euclidean algorithm

This English edition is an AI candidate and does not yet have an OCME Atlas (GPT-6) Twin closure receipt.

[Catalogue presentation and source-binding data](https://ocme.evemisslab.com/data/i18n/catalogue.en.json)



## [Euclidean algorithm](https://ocme.evemisslab.com/en/atlas/atlas-euclidean-algorithm/)

The Euclidean algorithm computes the gcd using exact quotient-remainder divisions, gcd invariance and strictly decreasing nonnegative remainders.

atlas-euclidean-algorithm · canonical_mko

[Euclidean algorithm](https://ocme.evemisslab.com/en/mko/mko-euclidean-algorithm/)

## Prerequisite nodes


- [Greatest common divisor and coprimality](https://ocme.evemisslab.com/en/atlas/atlas-gcd-coprime/)
- [Natural-number divisibility](https://ocme.evemisslab.com/en/atlas/atlas-natural-divisibility/)
- [Algorithm correctness](https://ocme.evemisslab.com/en/atlas/atlas-algorithm-correctness/)