Question

Three vessels of orange juice contain 9, 27 and 15 litres of juice respectively. Find the measure of a glass of maximum capacity that can exactly measure the juice in three of the vessels?

Answer 1

We need to find the highest common factor of the volumes of the three vessels. .....[1 Mark]

Using the long division method of finding H.C.F.:

The Highest Common Factor or H.C.F. of 9, 15 and 27 is 3.

Therefore, maximum capacity of the glass = 3 litres
......[2 Marks]