Question

Three jars of milk contain 40 litres, 50 litres and 60 litres of milk. Find the greatest capacity of a vessel which can empty out each jar with the exact number of fillings.

Answer 1

The greatest capacity of a vessel which can empty out each jar with the exact number of fillings is 10 liters

Explanation:

The jars of milk contain 40, 50, and 60 liters of milk, now, the vessel which can empty out each jar with the exact number of fillings will be their greatest common divisor (GCD),

So,

C = GCD{40,50,60) = 10

So, the greatest capacity of a vessel which can empty out each jar with the exact (i.e, whole number) number of fillings is 10 liters

And this vessel takes 4, 5, and 6 fillings for emptying out the 40, 50, and 60 liter jars respectively