GCD(0,0)



I notice that these math-controversy threads often get massive
numbers of replies.
(While more serious math posts and my games, for example,
hardly ever get any replies.)
So I will post this troll-bait flame-bait message to sci.math
because I always wanted to start one of those huge threads.
:)

For n = any positive integer, it is known that

GCD(n,n) = n

and

GCD(0,n) = n.

(GCD is Greatest Common Divisor, of course.)

But what is, if there is any defined value,

GCD(0,0)?

It certainly isn't 0 (which would fit the pattern above if
n=0), is it?
I would think that infinity would work as well as anything.

Or is GCD(0,0) simply undefined, like 0/0?


thanks, (half seriously, oh well, 3/4 seriously)
Leroy Quet

.



Relevant Pages

  • Re: GCD(0,0)
    ... >Leroy Quet wrote: ... >> numbers of replies. ... >> (While more serious math posts and my games, for example, ...
    (sci.math)
  • Re: GCD(0,0)
    ... >(While more serious math posts and my games, for example, ... >hardly ever get any replies.) ... This t must be an identity element for the GCD operator. ...
    (sci.math)
  • Re: GCD(0,0)
    ... >(While more serious math posts and my games, for example, ... >hardly ever get any replies.) ... >It certainly isn't 0 (which would fit the pattern above if ... >I would think that infinity would work as well as anything. ...
    (sci.math)
  • Re: GCD(0,0)
    ... Leroy Quet wrote: ... > numbers of replies. ... > (While more serious math posts and my games, for example, ... I really do read all your games and briefly ponder ...
    (sci.math)
  • Re: GCD(0,0)
    ... Leroy Quet wrote: ... > numbers of replies. ... > (While more serious math posts and my games, for example, ...
    (sci.math)