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# What is the highest common factor of positive integers u and

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Manager
Joined: 27 Feb 2004
Posts: 185

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Location: illinois
What is the highest common factor of positive integers u and [#permalink]

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06 Apr 2004, 18:59
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Question Stats:

100% (00:33) correct 0% (00:00) wrong based on 1 sessions

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What is the highest common factor of positive integers u and v?

A)u and v are consecutive integers.
B)v is a prime number.

Kudos [?]: 31 [0], given: 0

Senior Manager
Joined: 23 Sep 2003
Posts: 292

Kudos [?]: 4 [0], given: 0

Location: US

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08 Apr 2004, 09:37
Yeah, A it is.

1 is the common factor between any two positive integers.

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Intern
Joined: 06 Apr 2004
Posts: 28

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Location: Texas

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08 Apr 2004, 09:46
Yes, A.

I almost chose D until I realized my mistaken reasoning. I'm not good with number theory questions.

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CEO
Joined: 15 Aug 2003
Posts: 3454

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22 May 2004, 05:09
any other members want to explain?

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SVP
Joined: 30 Oct 2003
Posts: 1788

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Location: NewJersey USA

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22 May 2004, 15:52
A)u and v are consecutive integers.
GCD of any two consecutive integers is always 1
(Sufficient)

B)v is a prime number.
if v = 7 and u = 14 then GCD = 7
if v = 11 and u = 22 then GCD = 11
(Insufficient)

Kudos [?]: 112 [0], given: 0

22 May 2004, 15:52
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