# Category:Examples of Coprime Integers

Let $a$ and $b$ be integers such that $b \ne 0$ and $a \ne 0$ (that is, they are both non-zero).
Let $\gcd \set {a, b}$ denote the greatest common divisor of $a$ and $b$.
Then $a$ and $b$ are coprime if and only if $\gcd \set {a, b} = 1$.