Question

Two tankers contain 850 litres and 680 litres 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

Step-by-step explanation:

The capacity of required container will be obtained by finding the HCF of the capacity of tankers -

850 = 2×5×5×17

680 = 2×2×2×5×17

Common factors of 850 and 680 = {2,5,17}

HCF = 2×5×17

= 170

Answer:- The container which can measure petrol of either tank exactly must be of 170 litres.

Answer 2

Answer:

170 litres

Step-by-step explanation:

First finding the Highest Common Factor of both 850 and 680 will give the maximum capacity of container. So,

850 = 680 x 1 + 170

680 = 170 x 4 + 0

So, Highest Common Factor of 850 and 680 is 170.

Therefore, the maximum capacity of a container which can measure the petrol of each tanker in exact number of times is 170 litres.

Note: The highest number that can be divided exactly into each of two or more numbers is known as Highest Common Factor (HCF).

The highest common factor is found by multiplying all the factors which appear in both lists.

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