Question

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Answer 1

$\Large{\underline{\underline{\sf{Required\:Answer:}}}}$

$\large{:}\implies{\boxed{\sf{\red{31}}}}$

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$\Large{\underline{\underline{\sf{Explanation:}}}}$

Given thαt,

Three tαnkers contαin 403 litres, 434 litres and 465 litres of diesel.

— We need to find the maximum measuring capacity of the container to measure the three tanks.

Solutíon :

Since the meαsuring cαpαcity is smαller thαn 403, 434, 465.

we will find the Highest Common Factor(H.C.F)

Mαximum Meαsuring capacity = H.C.F of 403, 434 and 465.

• Find the factors of the numbers by using prime factorisation method.

$\displaystyle{\rm{403=13 \times 31}}$

$\displaystyle{\rm{434=7\times2\times31}}$

$\displaystyle{\rm{465=3\times5\times31}}$

Therefore, the H.C.F is 31.

• The maximum measuring capacity of the container to measure the three tanks is 31.

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Answer 2

31 litres container is the maximum capacity for all the three measurements.