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# What is the greatest common divisor of positive integers m

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What is the greatest common divisor of positive integers m [#permalink]  29 Mar 2012, 00:38
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73% (01:31) correct 26% (00:16) wrong based on 26 sessions
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.
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Re: What is the greatest common divisor of positive integers m [#permalink]  29 Mar 2012, 01:25
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What is the greatest common divisor of positive integers m and n?

(1) m is a prime number. Not sufficient as no info about n.

(2) m and n are consecutive integers. Any two consecutive positive integers are co-prime, which means that they do not share any common factor but 1. For example: 3 and 4, 5 and 6, 100 and 101, are consecutive integers and they do not share any common factor but 1. So, the greatest common divisor of m and n is 1. Sufficient.

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Re: What is the greatest common divisor of positive integers m   [#permalink] 29 Mar 2012, 01:25
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