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The length breadth and height of a room are 825 cm 675 cm and 450 cm respectively Find the longest tape which can measure the three dimensions of the room exactly

3. The length, breadth and height of a room are 825 cm, 675 cm and 450 cm respectively. Find the longest tape which can measure the three dimensions of the room exactly.

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Length =825cm=3 \times 5 \times 5 \times11

 Breadth =675cm=3 \times\times 3 \times 5 \times 5

 Height =450cm=2 \times3 \times 3 \times 5 \times

Longest tape = HCF of 825,675, and 450=  3 \times 5 \times 5

                      =75cm 

Therefore, the longest tape is 75cm. 

 

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