Question : What is the Highest Common Factor of $\frac{3}{8}$ and $\frac{4}{9}$?
Option 1: $\frac{1}{18}$
Option 2: $\frac{1}{108}$
Option 3: $\frac{1}{36}$
Option 4: $\frac{1}{72}$
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Correct Answer: $\frac{1}{72}$
Solution : We know, HCF of fraction = $\frac{\text{HCF of numerator}}{\text{LCM of denominator}}$ Now, HCF of 3 and 4 = 1 and LCM of 8 and 9 = 8 × 9 = 72 ⇒ HCF of $\frac{3}{8}$ and $\frac{4}{9}$ = $\frac{1}{72}$ Hence, the correct answer is $\frac{1}{72}$.
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