The length, breadth and height of a room are 825 cm, 675 cm and 450 cm respectively Find the - Maths - Playing with Numbers

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

Gopal Mohanty · Accepted Answer

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

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.