What is the Highest Common Factor of 16/45, 24/60 and 32/75?
Show answer & explanation
Correct answer: A
Explanation
Given:
Fractions = 16/45, 24/60, 32/75
According to the formula:
HCF (Fractions) = HCF (Numerators) / LCM (Denominators)
HCF (16, 24, 32) = 8
LCM (45, 60, 75)
45 = 3² × 5
60 = 2² × 3 × 5
75 = 3 × 5²
LCM = 2² × 3² × 5² = 4 × 9 × 25 = 900
Therefore, HCF = 8 / 900 = 2 / 225