GCD Calculator
Calculate the Greatest Common Divisor of two numbers
About this calculator
The GCD Calculator finds the Greatest Common Divisor (also called Greatest Common Factor) of two numbers - the largest positive integer that divides both numbers evenly. This mathematical tool is essential for simplifying fractions, solving algebra problems, and working with ratios. Students, teachers, and professionals use it to quickly determine common factors without manual calculation, making complex mathematical operations more efficient and accurate.
How to use
Enter your first number in the designated input field, then enter your second number in the next field. Click the calculate button to instantly find the GCD. The result shows the largest number that divides both inputs evenly, helping you solve mathematical problems quickly.
Frequently asked questions
What is the difference between GCD and LCM?
GCD finds the largest common divisor, while LCM (Least Common Multiple) finds the smallest number both inputs divide into evenly.
Can I find the GCD of negative numbers?
Yes, the GCD is always positive regardless of input signs, as it represents the absolute value of common divisors.
What happens if one number is zero?
When one number is zero, the GCD equals the absolute value of the non-zero number by mathematical convention.