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What is the greatest common divisor of distinct positive

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What is the greatest common divisor of distinct positive [#permalink]

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What is the greatest common divisor of distinct positive integers a and b?

(1) a and b share exactly one common factor.

(2) a and b are both prime numbers.
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Re: What is the greatest common divisor of distinct positive [#permalink]

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eladshush wrote:
What is the greatest common divisor of distinct positive integers a and b?

1. a and b share exactly one common factor.

2. a and b are both prime numbers.


What is the greatest common divisor of distinct positive integers a and b?

(1) a and b share exactly one common factor --> that one common factor must be 1, as it's the only so it's also the greatest. Sufficient.

(2) a and b are both prime numbers --> two distinct prime numbers share only one common factor: 1. Sufficient.

Answer: D.
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Re: What is the greatest common divisor of distinct positive [#permalink]

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A Typical GMAT example, where it makes a point that you have to read the question stem very carefully before answering the question. In 1, we have to note the word "exactly". Too good.
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Re: What is the greatest common divisor of distinct positive [#permalink]

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New post 04 Oct 2010, 09:04
eladshush wrote:
What is the greatest common divisor of distinct positive integers a and b?

1. a and b share exactly one common factor.

2. a and b are both prime numbers.


(1) 2 numbers have exactly one factor if and only if they are co-prime (factor being 1). Sufficient .. gcd=1

(2) Two prime numbers will have gcd=1 if distinct and gcd=themselves if equal. We are given a,b are distinct. Sufficient ... gcd=1

Answer is (D)
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Re: What is the greatest common divisor of distinct positive [#permalink]

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New post 15 Aug 2017, 10:10
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Re: What is the greatest common divisor of distinct positive   [#permalink] 15 Aug 2017, 10:10
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