Question

Hey !

Q)Two tankers contain 1000 litres and 760 litres of petrol respectively. Find the maximum capacity of a container by which can be used to measure petrol of both tankers in exact number of lines .

✔Chapter: Real numbers

Class: 10

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Answer 1

The required number is there HCF

Answer 2

Given capacity of 1st tanker = 1000 litres.

Given capacity of 2nd tanker = 760 litres.

The maximum capacity of the container is the HCF of 1000,760.

Prime factorization of 1000 = 2^3 * 5^3

Prime factorization of 760 = 2^3 * 5 * 19

HCF(1000,760) = 2 * 2 * 2 * 5

= 40.

Therefore the capacity of the container = 40 litres.

Hope it helps!