Question

Three tankers contain $203$ litres , $319$ litres and $377$ litres of diesel respectively. Find the maximum capacity of a container that can measure the diesel of three tankers exact number of times.

Answer 1

Amount of diesel present in the first tank = $203$ litres

Amount of diesel present in the second tank = $319$litres

Amount of diesel present in the third tank = $377$ litres

To measure the three tankers, we need to find the container’s maximum measuring capacity. We need to find the HCF because the measuring capacity is smaller than $203$ litres, $319$ litres and $377$ litres.

Prime factorisation of $203,319,377$ -:

$203=7\times 29$

$319=11\times 29$

$377=13\times 29$

H.C.F. $(203,319,377)=29$

Therefore, $29$ litres of the container is required to measure the quantity. i. e. The maximum measuring capacity is $29$ litres.