Mathematical Formula & Method
HCF / GCD Calculator Formula
gcd(a, b) = gcd(b, a mod b)
Worked Examples & Step-by-Step Solutions
GCD of 48 and 180
- 180 mod 48 = 36.
- 48 mod 36 = 12.
- 36 mod 12 = 0.
- Remainder is 0; HCF = 12.
How to Use the HCF / GCD Calculator
- Enter positive integers to see Euclidean steps and prime factors.
Important Assumptions & Unit Conventions
- Values must be non-zero integers.
Frequently Asked Questions
What is the difference between HCF and GCD?
HCF (Highest Common Factor) and GCD (Greatest Common Divisor) refer to the exact same mathematical concept.
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