Euclid's Algorithm Calculator

The Euclidean Algorithm

Euclid's algorithm is an efficient method for computing the greatest common divisor (GCD) of two integers, which is the largest number that divides them both without a remainder.

How it works

The algorithm relies on the principle that the GCD of two numbers does not change if the larger number is replaced by its difference with the smaller number. In practice, we use modulo division until the remainder is zero.