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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: $\frac{1}{72}$


Team Careers360 19th Jan, 2024
Answer (1)
Team Careers360 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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