Question : The HCF of $\frac{3}{4}, \frac{7}{8}$, and $\frac{13}{14}$ is:
Option 1: $\frac{1}{36}$
Option 2: $\frac{1}{56}$
Option 3: $\frac{1}{70}$
Option 4: $\frac{1}{60}$
Correct Answer: $\frac{1}{56}$
Solution :
The highest common factor (HCF) of fractions is calculated as the HCF of the numerators divided by the least common multiple (LCM) of the denominators.
HCF of the numerators (3, 7, 13) is 1.
LCM of the denominators (4, 8, 14) is 56.
So, HCF of $\frac{3}{4}, \frac{7}{8}$, and $\frac{13}{14}$ = $\frac{1}{56}$
Hence, the correct answer is $\frac{1}{56}$.
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