Euclidean Algorithm Calculator
Calculate the Greatest Common Divisor (GCD) of two numbers
Understanding the Euclidean Algorithm
The Euclidean Algorithm is an efficient method for computing the greatest common divisor (GCD) of two numbers. The GCD is the largest positive integer that divides both numbers without leaving a remainder.
How It Works
The algorithm works by repeatedly dividing the larger number by the smaller one and taking the remainder. This process continues until we get a remainder of 0. The last non-zero remainder is the GCD.
Applications
- Simplifying fractions
- Cryptography and RSA algorithm
- Computer graphics
- Musical theory