On 9/24/2014 7:44 AM, Steven D'Aprano wrote:
blindanagram wrote:

Seccondly (as others here have pointed out), the mathematical properties
of the greatest common divisor are well defined for both positive and
negative integers.

You keep saying that, but it simply is not true. Different people use
different definitions. Some refuse to allow negative arguments at all. Some
insist that the GCD must be positive. Others allow it to be negative.

[convincing evidence of the above snipped]

The negative of the greatest common divisor is the least common divisor (when the range includes negative integers). If a 'gcd' is allowed to be negative, one must re-interpret 'gcd' as abbreviating 'greatest-magnitude common divisor'. It then might be better called 'gmcd'.

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Terry Jan Reedy

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