In Q.No. 7, HCF (a, b) is

Question:

In Q.No. 7, HCF (ab) is

(a) pq

(b) $p^{3} q^{3}$

(c) $p^{3} q^{2}$

 

(d) $p^{2} q^{2}$

Solution:

Two positive integers are expressed as follows:

$a=p q^{2}$

$b=p^{3} q$

p and q are prime numbers.

Then, taking the smallest powers of and q in the values for a and b we get

$\operatorname{HCF}(a, b)=p q$

Hence the correct choice is (a).

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