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 is a HCF related problem.

So, we need to find the HCF of 80, 100, 120

2	80
2	40
2	20
2	10
	5

2	100
2	50
5	25
	5

2	120
2	60
2	30
3	15
	5

80 = 2 × 2 × 2 × 2 × 5

100 = 2 × 2 × 5 × 5

120 = 2 × 2 × 2 × 3 × 5

HCF of 80, 100 and 120 = 2 × 2 × 5 = 20

Volume of the vessel = 20 litres