Question

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 the three containers exact number of times.

Answer 1

$\text{The maximum capacity of container = H.C.F 403, 434, 465}$



$\text{Factors of 403 = 13 x 31}$



$\text{Factors of 434 = 2 x 7 x 31}$



$\text{Factors of 465 = 3 x 5 x 31}$



$\text{H.C.F = 31}$



$\textbf{Therefore, 31 litres of container is}$$\textbf{required to measure the quantity.}$