Arithmetic & Number Theory

Greatest Common Divisor

Largest integer dividing both numbers.

Formula

Formula
g = gcd(a, b)

Variables

SymbolDefinitionType & rangeUnitsRole
a first integer integer (ℤ) input
b second integer integer (ℤ) input
g greatest common divisor computed result result

Try it yourself

Interactive calculator
Result

Worked examples

Example 1
Givena = 48, b = 36
Result12
Example 2
Givena = 1071, b = 462
Result21