What is the greatest common divisor of positive integers m and n?
1) m is a prime number
2) 2n=7m
1) m is a prime number
2) 2n=7m
1) Not possible to find the GCF :
e.g :
m n GCF
5 7 1
5 30 5
2) 2n = 7 * m.
M must be an even number to ensure that (m*7) = 2n.
So M = (2,4,6,8….even numbers)
And N can be any Even or Odd number.
Insuff
Together:
Since m is prime and even. M should be = 2.
i.e. 2n = 14
n=7
GCF = 1
Ans :C
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