Question

the length,breadth and height of a room are 825cm, 675cm and 450cm respectively. find the longest tape which can measure the three dimensions 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.

Answer 2

lenght = 825 cm = 3×5×5×11
breath = 675 cm =3×3×3×5×5
height = 450 cm = 2×3×3×5×5
longest tape = HCF of 825,675,450 = 3×5×5 = 75 cm
Therefore,longest tape is 75 cm