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What is the greatest common divisor of positive integers m

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Senior Manager
Joined: 22 Nov 2005
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What is the greatest common divisor of positive integers m [#permalink]  08 Apr 2006, 20:36
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What is the greatest common divisor of positive integers m and n?

(1) m is a prime number.
(2) m and n are consecutive integers.
SVP
Joined: 14 Dec 2004
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St1: Insufficient
Since, we don't know about 'n'
eg: (7,21), (7,9)

St2: Sufficient
m, (m+1)
GCD = 1.

So, B.
Manager
Joined: 21 Dec 2005
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I agree with Vivek...though I had no idea how to do it.
Manager
Joined: 20 Nov 2004
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jodeci wrote:
I agree with Vivek...though I had no idea how to do it.

If you take the Euclidean algorithm to determine the GCD it's quite
obvious. The division of m+1 by m always leaves a remainder of 1.
So no matter what m is, the algorithm always ends in the second
step with GCD(m+1,m) = 1.
Senior Manager
Joined: 08 Jun 2004
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'B' by itself is sufficient to answer the question.

In consecutive integers only 1 can be a common divisor.
VP
Joined: 29 Apr 2003
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Good one to test the basics..

Yeah its B
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