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# Greatest common divisors in Python

Suppose we have a list of positive numbers called nums, we have to find the largest positive number that divides each of the number.

So, if the input is like [14,28,70,56], then the output will be 14.

To solve this, we will follow these steps −

- ans := first element of nums
- for each x in nums, do
- ans := gcd of ans and x

- return ans

Let us see the following implementation to get better understanding −

## Example

import math class Solution: def solve(self, nums): ans = nums[0] for x in nums: ans = math.gcd(ans, x) return ans ob = Solution() print(ob.solve([14,28,70,56]))

## Input

[14,28,70,56]

## Output

14

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