GCD/HCF Calculator
⚡ Find GCD/HCF instantly with step-by-step solutions. Works with 2, 3, or 4 numbers. 100% free.
The Best GCD/HCF Calculator Online
Our GCD calculator is designed for students who want to actually understand math. We show you the complete Euclidean algorithm step-by-step, so you actually LEARN - not just get answers. The Greatest Common Divisor (GCD), also known as the Highest Common Factor (HCF), is essential for simplifying fractions and solving ratio problems. No signup, no ads, just instant accurate results.
Euclidean Algorithm
GCD(a, b) = GCD(b, a mod b)The most efficient method to find GCD
Prime Factorization
GCD = Product of common prime factorsFind GCD by identifying common prime factors
Examples
GCD of 48 and 18
GCD of 24, 36, 48
Frequently Asked Questions
What is the difference between GCD and HCF?
GCD (Greatest Common Divisor) and HCF (Highest Common Factor) are the same thing. GCD is more commonly used in the US, while HCF is used in the UK and India.
How do you find GCD of two numbers?
You can find GCD using the Euclidean algorithm (repeatedly divide and take remainder) or by finding prime factorizations and multiplying common factors.
What is GCD of 0 and any number?
The GCD of 0 and any number n is n itself, because every number divides 0.