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Question -

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.



Answer -

Given length of a room = 825 cm

Breadth of a room = 675 cm

Height of a room = 450 cm



825 = 3 × 5 × 5 × 11
675 = 3 × 3 × 3 × 5 × 5
450 = 2 × 3 × 3 × 5 × 5
HCF = 3 × 5 × 5 = 75 cm
Hence longest tape is 75 cm which can measure the three dimensions of the room exactly.

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