Question

What is the greatest possible volume of a vessel that can be used to measure exactly the volume of milk in cans (in full capacity) of 80 litres, 100 litres and 120 litres?

Answer 1

This Problem is HCF related problem

Prime factorisation of 80 = 2 × 2 × 2 × 2 × 5

Prime factorisation of 100 = 2 × 2 × 5 × 5

Prime factorisation of 120 = 2 × 2 × 2 × 3 × 5

Product of common factors 80, 100 and 120 = 2 × 2 × 5 = 20

HCF (80, 100, 120) = 20

The volume of the vessel = 20 litres