Question

Question 7

Three tankers contain 403 litres, 434 litres and 465 litres of diesel respectively. Find the maximum capacity of a container that can measure the diesel of three containers exact number of times.

Answer 1

HCF of two or more number is the highest number which divides the given numbers exactly.
The maximum capacity of container = HCF [403, 434, 465]
Factors of 403 = $13\times 31$
Factors of 434 = $2\times 7\times 31$
Factors of 465 = $3\times 5\times 31$
Clearly, HCF = 31
Therefore, 31 litres container is required to measure the diesel of three containers exact number of times.