16 m, 14 m and 10 m are the dimensions of a room. Find the length of the greatest possible scale to measure all dimensions exactly.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 2m.
Given that,
The dimensions of the room = 16 m, 14 m, and 10 m
So,
The length of the greatest possible scale = HCF (16, 14, 10)
Factors of
⇒ 16 = 2 × 2 × 2 × 2
⇒ 14 = 2 × 7
⇒ 10 = 2 × 5
⇒ H.C.F = 2
So,
The length of the greatest possible scale to measure all dimensions exactly is 2 m