Two pipes of length 1.5 meters and 1.2 meters are to be cut into equal pieces without leaving any extra length. What is the greatest length of pieces of the same size that can be cut from both pipes?
Show answer & explanation
Correct answer: B
Explanation
Given:
First length = 1.5 m
Second length = 1.2 m
According to the formula:
Maximum length of equal pieces = HCF
1.5 m = 150 cm
1.2 m = 120 cm
HCF (150, 120)
150 = 2 × 3 × 5²
120 = 2³ × 3 × 5
HCF = 2 × 3 × 5 = 30 cm
Maximum length = 0.3 meters