The dimensions of a room are 1650 cm × 1350 cm × 900 cm. What should be the size of the longest tape with which the three dimensions can be measured exactly?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e 150 cm.
Prime factorization
1650 = 2 × 3 × 5² × 11
1350 = 2 × 3³ × 5²
900 = 2² × 3² × 5²
Common factor of 2 → 2¹
Common factor of 3 → 3¹
Common factor of 5 → 5²
So, HCF = 2 × 3 × 25 = 150
The longest tape size = 150 cm