Two positive integers have HCF $6$ and LCM $180$. Find all unordered pairs of integers that sati

Question

Two positive integers have HCF $6$ and LCM $180$. Find all unordered pairs of integers that satisfy these conditions. An unordered pair means that $(a,b)$ and $(b,a)$ count as the same answer. Optional hint: Write the numbers as $6x$ and $6y$. What must the HCF of $x$ and $y$ be?

Accepted Answer

$(6,180),\ (12,90),\ (18,60),\ (30,36).$

Primes, HCF and LCM

Primes, HCF and LCM

Solution:

Solution locked