# Greatest Common Divisor of Integers/Examples/n and 0

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## 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:

- $\set {x \in \Z_{>0}: x \divides 0} = \Z_{>0}$

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