Why $\gcd(0,0)=0$ when $0/0$ is undefined? [duplicate]

Is this only a standard we have to follow? But Doesn't such acceptance manifests into a wrong solution eventually for some problem? If no, is there any proof?

• Related, (1) (2). Feb 17, 2017 at 15:37
• I wonder how you people can find duplicates so quickly! 👏👏😯 Feb 17, 2017 at 15:37
• They probably typed "gcd(0,0)" in the search bar up right. Or on google.
– user228113
Feb 17, 2017 at 15:38