GCD of negative integers

I have a friend. I gave three distinct negative integers x , y , z x,y,z . Then I asked him to calculate the GCD of these integers. In reply, he said that the GCD is negative.

Is he correct?

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1 solution

Vilakshan Gupta
Dec 2, 2017

G.C.D means Greatest Common Divisor

It cannot be negative since 1 1 divides every number and 1 1 is greater than all negative numbers.Therefore, in any case GCD of any set of numbers cannot be negative.

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