Question

3.There are three drums containing 40L, 52L and 48L of diesel. Find the capacity of the largest vessel that can measure the diesel in the three drums exact number of times.

Answer 1

Answer:

3 drums have capacity 40, 52, 48 Litres respectively

capacity of largest vessel that can fill all 3 in exact times = basically HCF of the 3 capacities

= HCF ( 40,52,48 )

= The factors of 40 are: 1, 2, 4, 5, 8, 10, 20, 40

The factors of 48 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

The factors of 52 are: 1, 2, 4, 13, 26, 52

greatest common factor is 4

therefore largest tank capacity is 4L