HCF & LCM

medium importance~1 Q in Tier 117 formulas⚡ 12 shortcuts4 subtopics

Exam-level questions worked step by step. Try each one yourself first — then expand the solution and compare routes.

Q1.

The HCF of two numbers is 145 and their LCM is 2175. If one number is 725, find the other number.

Q2.

Find the greatest number which when dividing 85 and 72 leaves remainders 1 and 2 respectively.

Q3.

The HCF of $\frac{2}{3}$ , $\frac{8}{9}$ and $\frac{10}{27}$ is:

Q4.

Find the least number of square tiles required to pave a hall 15 m 17 cm long and 9 m 2 cm broad.

Q5.

The HCF and LCM of two numbers are 5 and 495 respectively. If their sum is 100, find their difference.