Question

Three tankers contain 150 litres, 180 litres and 240 litres of petrol respectively. Find the maximum capacity of a container which can measure the petrol of each tanker in exact number of times.

Answer 1

Answer:

we have to find the maximum capacity of a container which can measure 850 litres and 680 litres exactly. To solve the question we will first represent 850 and 680 as prime factorization.

Answer 2

Answer:

$30l$

Step-by-step explanation:

Given data:

• Three tankers contain $150l$, $180l$ and $240l$ of petrol respectively.

• As per the data, we need to find the maximum capacity of a container which can measure the petrol of each tanker in exact number of times.

• To get the maximum capacity of a container which can measure the petrol of each tanker in exact number of times, we need to find the H.C.F of $150,180,240$

• Let us find the H.C.F of $150,180,240$

$150=5\times5\times3\times2$

$180=5\times3\times3\times2\times2$

$240=5\times2\times2\times2\times2\times3$

• Common factors of $150,180,240=5\times3\times2$

• Therefore, the H.C.F of $150,180,240=30$

Hence, the maximum capacity of a container which can measure the petrol of each tanker in exact number of times is $30l$.