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# What is the greatest common divisor of (2^a) - 1 and (2^b) -

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Manager
Joined: 01 Nov 2007
Posts: 103

Kudos [?]: 78 [0], given: 0

What is the greatest common divisor of (2^a) - 1 and (2^b) - [#permalink]

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15 Mar 2008, 02:50
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What is the greatest common divisor of (2^a) - 1 and (2^b) - 1 ?

(1) GCD (a, b) = 3

(2) LCM (a, b) = 9

Kudos [?]: 78 [0], given: 0

Senior Manager
Joined: 15 Aug 2007
Posts: 252

Kudos [?]: 72 [0], given: 0

Schools: Chicago Booth

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15 Mar 2008, 08:15
I am getting C

1: morethan one set of values for a and b - 3,3; 3,6; 3,9...3*11,3*17.... so insufficient
2: possible values if a and b are 1,9; 3,9.. insufficient

Combined - 3,9 - sufficient

Kudos [?]: 72 [0], given: 0

Re: DS (number properties)   [#permalink] 15 Mar 2008, 08:15
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