Question 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.
HCF of two or more number is the highest number which divides the given numbers exactly.
The measurement of longest tape = HCF of 825 cm, 675 cm, and 450 cm.
Factors of 825 = 3×5×5×11
Factors of 675 = 3×5×5×3×3
Factors of 450 = 2×3×3×5×5
HCF = 3×5×5=75 cm
Therefore, the longest tape which can measure the three dimensions of the room exactly is 75 cm.