Question

Two tankers contain $960$$L$ of petrol and $2048L$of petrol respectively .Find the maximum capacity of a container which can measure the petrol of either tanker in exact number of times.

Answer 1

Clearly the maximum capacity of the container is the HCF of $960$ and $2048$ in litres.

let us find the HCF of $960$ and $2048$ by calculating the factors .

$960$= $2\times 2\times 2\times 2\times 2\times 2\times 3\times 5$

$2048$ = $2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\times 2$

HCF = $2\times 2\times 2\times 2\times 2\times 2$

HCF = $64$

Therefore, the maximum capacity of a container which can measure the petrol of either tanker in exact number of times = $64$ times