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# Program to find highest common factor of a list of elements in Python

Suppose we have a list of elements called nums, we have to find the largest positive value that divides each of the integers.

So, if the input is like nums = [15, 81, 78], then the output will be 3, as 3 is the largest integer that divides all 15, 81, and 78.

To solve this, we will follow these steps −

if size of nums is same as 1, then

return nums[0]

div := gcd of nums[0] and nums[1])

if size of nums is same as 2, then

return div

for i in range 1 to size of nums - 2, do

div := gcd of div and nums[i + 1]

if div is same as 1, then

return div

return div

## Example

Let us see the following implementation to get better understanding

from math import gcd def solve(nums): if len(nums) == 1: return nums[0] div = gcd(nums[0], nums[1]) if len(nums) == 2: return div for i in range(1, len(nums) - 1): div = gcd(div, nums[i + 1]) if div == 1: return div return div nums = [15, 81, 78] print(solve(nums))

## Input

[15, 81, 78]

## Output

3

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