The length, breadth and height of a room are 825 cm, 675 cm and 450 cm resdpectively. Find the longest tape which can measure the three dimensions of the room exactly.
Length of the room = 825 cm
Breadth of the room = 675 cm
Height of the room = 450 cm
Longest tape = HCF of 825, 675 and 450
825 = 3 × 5 × 5 × 11
675 = 3 × 3 × 3 × 5 × 5
450 = 2 × 3 × 3 × 5 × 5
HCF = 3 × 5 × 5 = 75 cm
Therefore, the longest tape = 75 cm