Question

Three cans of water contain 527 litres, 646 litres and 748 litres of water respectively. Find the capacity ( in litres) of the biggest container which can measure the water in these three cans exactly.

Answer 1

Answer:

17

Step-by-step explanation:

Given  

Three cans of water contain 527 litres, 646 litres and 748 litres of water respectively. Find the capacity ( in litres) of the biggest container which can measure the water in these three cans exactly.

ANSWER

Number of cans is 3

First can contains 527 litres

Second can contains 646 litres

Third can contains 748 litres.

So now we need to find the hcf of the three numbers.

Factors of  

527 = 17 x 31

646 = 2 x 17 x 19

748 = 2 x 2 x 11 x17

So 17 is the highest common factor.

So capacity of biggest container will be 17 litres.