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# What is the greatest common divisor of positive integers m

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Re: What is the greatest common divisor of positive integers m [#permalink]
Here, we are given that m & n are Positive Integers, & we have to find Greatest Common divisor of m & n.

Statement 1 says: m is a prime number, but we don't know anything of n
Therefore insufficient

Statement 2 says: m and n are consecutive integers.
Now you may take any values of m & n, the greatest common divisor will always be 1

Therefore sufficient.

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Re: What is the greatest common divisor of positive integers m [#permalink]
Using the rule that any two consecutive are co- primes we can say B is sufficient and GCD =1
hence B
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Re: What is the greatest common divisor of positive integers m [#permalink]
What is the greatest common divisor of positive integers m and n?

Statement 1) M is a prime number. INSUFFICIENT
If M is prime and N is also prime then GCF=1 (Example 3 and 5 ; GCF=1)
If M is prime and N is a multiple of that prime then GCF=M (example 3 and 6; GCF=3)

Statement 2) SUFFICIENT
Any two conceptive integers will be a pair of ODD and EVEN. They will share no factor EXCEPT 1

THEREFORE B is sufficient GCF=always 1

eybrj2 wrote:
What is the greatest common divisor of positive integers m and n?

(1) m is a prime number.

(2) m and n are consecutive integers.
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Re: What is the greatest common divisor of positive integers m [#permalink]
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Re: What is the greatest common divisor of positive integers m [#permalink]
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