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# Which of the following CANNOT be the greatest common divisor

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Director
Joined: 15 Aug 2005
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Which of the following CANNOT be the greatest common divisor [#permalink]

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03 Sep 2005, 06:02
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Which of the following CANNOT be the greatest common divisor of two positive integeres x and y?

A. 1
B. x
C. y
D. x-y
E. x+y

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Cheers, Rahul.

Director
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03 Sep 2005, 19:44
One more for E

A. Between all prime numbers GCD is 1
B. If x is 2 and y is 4, GCD is x
C. If y is 2 and x is 4, GCD is y
D. If x is 2 and y is 4, GCD is x - y
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04 Sep 2005, 04:02
Yes, E but more simply, since y>0, x+y>x and a divisor can't be bigger than the number itself !
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