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For any two positive integers a and b, which relation is always true?

Class 10Fundamental Theorem of ArithmeticNumber Systems

AHCF(a,b) $x$ LCM(a,b) = $a x$ b
BHCF(a,b) + LCM(a,b) = a + b
CHCF(a,b) $x$ LCM(a,b) = $a + b$
DHCF(a,b) = LCM(a,b)

Step-by-Step Solution

A standard consequence of the FTA: the product of the HCF and LCM of two numbers equals the product of the numbers.

Answer: A) HCF(a,b)

x

LCM(a,b) =

a x

b

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