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Consecutive GCD?

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Consecutive GCD?

by smclean23 » Thu Aug 07, 2008 7:11 pm
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.



Answer is B.


1 is not suff.
2. Could the GCD be 1? ex 1 and 2, 2 and 3, 3 and 4....
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Source: — Data Sufficiency |
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Re: Consecutive GCD?

by Stuart@KaplanGMAT » Thu Aug 07, 2008 7:13 pm
smclean23 wrote: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.



Answer is B.


1 is not suff.
2. Could the GCD be 1? ex 1 and 2, 2 and 3, 3 and 4....
The GCD of any two consecutive positive integers is indeed 1. That's why (2) is sufficient alone.
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