Python Program #26 - Find HCF or GCD using Euclidean algorithm

Published: 17 May 2023
on channel: Programming For Beginners

3,287

Python Program #26 - Find HCF or GCD using Euclidean algorithm
In this video by Programming for beginners we will see Python Program to Find HCF or GCD using Euclidean algorithm in Python for beginners series.
Python programming language and program is very easy to learn for students and professionals.

Euclidean algorithm is based on the fact that H.C.F. of two numbers divides their difference as well.

In this algorithm, we divide the greater number by smaller number and take the remainder. Now, divide the smaller by this remainder. Repeat until the remainder is 0.

For example, if we want to find the H.C.F. of 54 and 24, we divide 54 by 24. The remainder is 6. Now, we divide 24 by 6 and the remainder is 0. Hence, 6 is the required H.C.F.

x = 54, y = 24
x = 24, y = 6 - (54 % 24)
x = 6, y = 0 - (24 % 6)

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