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If \(HCF = LCM\) for two rational numbers, then numbers always should be [PYQ 2025]

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If \(HCF = LCM\) for two rational numbers, then numbers always should be

[PYQ 2025]

a

Composite

b

Equal

c

Prime

d

Co-prime

✓ Correct answer: b)

Equal

Explanation

The HCF of two numbers is always less than or equal to the numbers, and the LCM is always greater than or equal to the numbers.

It is given that, HCF(a, b) = LCM(a, b), this holds true only when HCF(a, b) = a = b and LCM(a, b) = a = b.

Therefore, we can say that this condition is true when the two numbers are equal.

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