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Question

HCF of two numbers is always a factor of their LCM.


A
True
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B
False
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Solution

The correct option is A True

Verify the given statement

HCF is a factor of both the numbers and is also the factor of their LCM.

Let us consider two numbers 6 and 10.

Now, Factors of 6 are 2×3

And, Factors of 10 are 2×5

H.C.F of 6 and 10 is 2.

L.C.M of 6 and 10 is 2×3×5=30.

Thus, 2 is a factor of 30 .

Hence, the statement “ HCF of two numbers is always a factor of their LCM” is true.


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