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.

Answers (1)

 

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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