if two positive integers are written as a and b "a"= x4 y3 b= x5 y2 .x and y are prime numbers then HCF(ab) is :
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Greatest common divisor (GCD) of and obviously must be a divisor of both and , which means that and must be an integer.
If (option C), then , which means that cannot be GCD of and as it is not a divisor of .
Answer: C.
How about the other choices, can they be GCD of and ?
A. --> if --> and --> . Answer is YES, can be GCD of and ;
B. --> if and --> and --> . Answer is YES, can be GCD of and ;
D. --> if and --> and --> . Answer is YES, can be GCD of and ;
E. --> if and --> and --> . Answer is YES, can be GCD of and .
Hope it's clear.
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