Hi everyone,

If a is an integer mod m (and m is a positive integer), then the gcd of a and m 
is well defined; it's the gcd of A and m were A is any integer representing a 
mod m.  Consider this transcript in sage:

sage: a = Mod(1,6)
sage: b = Mod(3,6)
sage: print gcd(a-b,6) # is this a bug?
sage: print gcd(b-a,6)
4
2

sage seems to think that the gcd of 6 and (-2 mod 6) is -2 mod 6, which it 
converts to 4.  A mathematician would say that the gcd is 2.  Is this a bug, or 
does sage have a higher purpose here?

Thanks,
Ken

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