Greatest Common Divisor of Integers/Examples/n and 0

Example of Greatest Common Divisor of Integers
Let $n \in \Z_{>0}$.

The greatest common divisor of $n$ and $0$ is:
 * $\gcd \set {n, 0} = n$

Proof
The strictly positive divisors of $0$ are:
 * $\set {x \in \Z_{>0}: x \divides 0} = \Z_{>0}$