Two positive integers have HCF $12$ and LCM $360$. A student claims that one of the integers cou

Question

Two positive integers have HCF $12$ and LCM $360$. A student claims that one of the integers could be $72$. Use the HCF–LCM product relationship to find the other integer implied by this claim. Calculate the actual HCF and LCM of the resulting pair. Hence explain whether the claim is correct. Find a valid pair of integers with HCF $12$ and LCM $360$.

Accepted Answer

(a) $60$ (b) HCF: $12$, LCM: $360$ (c) $60$ and $72$

Primes, HCF and LCM

Primes, HCF and LCM

Solution:

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