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2023-05-10 22:35:09 +03:00

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---
title: Greatest common divisor
type: snippet
language: javascript
tags: [math,algorithm,recursion]
cover: migrating-birds
dateModified: 2020-12-29T12:36:50+02:00
---
Calculates the greatest common divisor between two or more numbers/arrays.
- The inner `_gcd` function uses recursion.
- Base case is when `y` equals `0`. In this case, return `x`.
- Otherwise, return the GCD of `y` and the remainder of the division `x / y`.
```js
const gcd = (...arr) => {
const _gcd = (x, y) => (!y ? x : gcd(y, x % y));
return [...arr].reduce((a, b) => _gcd(a, b));
};
```
```js
gcd(8, 36); // 4
gcd(...[12, 8, 32]); // 4
```