Question

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

Answer 1

Given: Three tankers contain $403$ litres,$434$ litres and $465$ litres of diesel.

We need to find: Maximum measuring capacity of the container to measure the three tankers.

Since measuring capacity is smaller than $403,434,465$

Maximum measuring capacity$=$HCF of $403,434,465$

Factors of $403=13\times 31$

Factors of $434=7\times 2\times 31$

Factors of $465=3\times 5\times 31$

So,HCF$=31$

$\therefore$ Maximum measuring capacity$=31$litres