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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] New post 06 Nov 2007, 12:49
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A
B
C
D
E

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what is the greatest common divisor of positive integers m and n?

1-m is prime
2-2n=7m
VP
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Re: DS [#permalink] New post 06 Nov 2007, 17:13
young_gun wrote:
what is the greatest common divisor of positive integers m and n?

1-m is prime
2-2n=7m


c or E. confused
1. m=2,3,5,7,11,.... what is n? insuff.
2. 2n=7m can be anything. n=14 and m=4 here 2, n=21 and m=6 here 3 so insuff.

together.

m is prime. 2n=7m, we need 7*2 and 2 is an integer. so 2n=7*2. or m=2 and n=7
m and n do not have a common divisor
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 [#permalink] New post 06 Nov 2007, 21:20
I get C because in DS questions, if you are able to get a definitive yes, then the answer is yes, thus C.

2 and 7 does not have a common divisor.
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 [#permalink] New post 08 Nov 2007, 13:54
both together,

m= 2/7n, m is prime thus m=2 and n=7

answer is C
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Re: DS [#permalink] New post 08 Nov 2007, 21:37
young_gun wrote:
what is the greatest common divisor of positive integers m and n?

1-m is prime
2-2n=7m



haha, its C. I was so confused about this question. I thought S2:
was 2-2n=7m I was like how the heck can n be + then???


S1: Insuff, nothin bout N

S2: 2n=7m just plug in for either. m=2 n=7 m=4 n=14

GCF for first =1 GCF for second = 2. Insuff

if M=prime then---> n=7m/2 M must be divisible by 2 b/c n= integer.

So M=2 since its the only prime divisible by 2. thus n=7.

GCF =1.



C
Re: DS   [#permalink] 08 Nov 2007, 21:37
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