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Theory

    ➡ Product of two numbers = Product of their LCM and HCF

The highest common factor(HCF) and the least common multiple(LCM) of two positive integers are 44 and 264

HCF = 44, LCM = 264

When the first number is divided by 2, the quotient is 44

Using Divided = Divisor*Quotient + Remainder
=> First number is either 2*44 + 0 or 2*44+1
=> First number = 88, 89
Since, HCF = 44, so first number has to be a multiple of 44
=> First number = 88

Let second number be x

264 * 44 = 88 * x

=> x = \(\frac{264 * 44 }{ 88}\)
=> x = 132

So, Answer will be C.
Hope it helps!

Watch the following video to Learn the Basics of LCM and GCD

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