Question

A merchant has120 litres and 180 litres of two kinds of oil. He wants to sell the oil by filling the two kinds in tins of equal volume. Find the greatest volume of such a tin.

Answer 1

60 litres

Explanation:

To obtain the greatest volume of the tin, we calculate the highest common factor of both 120 and 80

Factors of :

80 : 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

The highest common factor is 60.

Hence, the greatest volume of the tin would be 60 litres