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If P = a × m × r and Q = b × m × 2 × r, where a, b, m, rare odd primes. then the HCF of P and Q is:
Question

If P = a × m × r and Q = b × m × 2 × r, where a, b, m, rare odd primes. then the HCF of P and Q is:

A.

ar

B.

br

C.

2r

D.

mr

Correct option is D

Given:

P = a × m × r and Q = b × m × 2 ×r

a, b, m, r are odd primes

Solution:

​HCF of P PP and Q Q is the product of their common factors​

P = a × m × r 

Q = b × m × 2 × r 

HCF=m×r\text{HCF} = m \times r​​



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