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What is the greatest common factor of the positive integers

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Intern
Joined: 12 Mar 2004
Posts: 35
Location: Mumbai INDIA
What is the greatest common factor of the positive integers [#permalink]

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09 Dec 2004, 04:08
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What is the greatest common factor of the positive integers x and y?
(1) y = x + 1
(2) xy is divisible by 5.

Can anyone explain how to solve this?
Manager
Joined: 07 Nov 2004
Posts: 89
Location: London

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09 Dec 2004, 05:51
A

S1: x and y are consecutive positive integers so the gcf is 1 -> S1 is sufficient
S2: For xy to be divisible by 5, either x or y has to be a multiple of 5.
pick numbers,
x = y = 5 -> gcf=5
x = 5 and y=1 -> gcf = 1
S2 is insufficient
Senior Manager
Joined: 19 Oct 2004
Posts: 315
Location: Missouri, USA

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09 Dec 2004, 07:18
A for me too.

state 1- consecutive integers have only 1 as common factor. hence, gcf=1

statement 2- xy=20 /10/35

hence the values of x and y change accordingly and so does theor GCF. hence, insuff.
_________________

Let's get it right!!!!

09 Dec 2004, 07:18
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