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The LCM of 248 and 868 is 1736. The HCF of the same two numbers is:
Question

The LCM of 248 and 868 is 1736. The HCF of the same two numbers is:

A.

124

B.

248

C.

868

D.

1736

Correct option is A

Given:

LCM of 248 and 868 =1736

Solution:

HCF  of 248 and 868 

248=23×31868=22×7×31Common prime factors: 22×31HCF=22×31=4×31=124248 = 2^3 \times 31 \\ 868 = 2^2 \times 7 \times 31 \\\text{Common prime factors: } 2^2 \times 31 \\\text{HCF} = 2^2 \times 31 = 4 \times 31 = 124​​

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