The Length breadth and height of a room are 825cm , 675cm and 540cm . Find the longest tape which can measure the three dimensions of the exactly

Given: The Length breadth and height of a room are 825cm , 675cm and 540cm 

To do: Find the longest tape which can measure the three dimensions of the exactly.

Solution:

L= 825 cm , B = 675 cm and H = 450 cm. Find the longest tape measuring all three dimensions.

The length of the longest tape measuring all 3 dimensions is given by 

HCF of 825, 675 and 450

825 = 3 $\times$ 5 $\times$ 5  $\times$ 11

675 = 3 $\times$ 3 $\times$ 3 $\times$ 5 $\times$ 5

450 = 2 $\times$ 3 $\times$ 3 $\times$ 5 $\times$ 5

HCF = 3 $\times$ 5 $\times$ 5 = 75 

So 75 cm is the length of the longest tape.

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Updated on: 10-Oct-2022

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