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# What is the greatest possible common divisor of two

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Intern
Joined: 19 Nov 2004
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What is the greatest possible common divisor of two [#permalink]

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19 Dec 2004, 18:46
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13. What is the greatest possible common divisor of two different positive integers that are less than 144?

I took too long answering this question that I chose the wrong answer. I was wondering if there is a shortcut for this.

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Manager
Joined: 19 Nov 2004
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21 Dec 2004, 14:11
My answer is 71 its greatest possible common divisor

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VP
Joined: 25 Nov 2004
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23 Dec 2004, 23:37
Yes, it is 71, which can divide positive integers 142 and 71.

Last edited by MA on 24 Dec 2004, 00:15, edited 1 time in total.

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Intern
Joined: 23 Dec 2004
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Location: Los Angeles, California

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24 Dec 2004, 00:01
I guess the short cut here is to find greatest divisable by 2 number less then 144 so it's 142 and devide it by 2 to get highest common divisor .

Just picture similar question : What is the common largest divisor of 3 intergers that are each less then 144 . The answer is 47 for ( 47, 94, 141 )
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24 Dec 2004, 00:01
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