# 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.

P Pankaj Sanodiya

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

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

Height =450cm=2 $\times$3 $\times$ 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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