Question

The length, breath and heat of the room are 124 cm 178 cm, 616cm respectively. Find the longest
tape which can measure the 3 dimenations of the room exactly​

Answer 1

Length = 825 cm = 3 × 5 × 5 × 11

Breadth = 675 cm = 3 × 3 × 3 × 5 × 5

Height = 450 cm = 2 × 3 × 3 × 5 × 5

Longest tape = HCF of 825, 675, and 450 = 3 × 5 × 5 = 75 cm

Therefore, the longest tape is 75 cm.

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