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: $\frac{1}{72}$
Answer (1)
21st Jan, 2024
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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