Question

What is the HCF of \( \frac{8}{5}, \frac{6}{8}, \frac{4}{25} \)?

• A. \( \frac{1}{5} \)
• B. \( \frac{1}{50} \)
• C. \( 1 \)
• D. \( \frac{1}{200} \)

Hint:

To find the HCF of fractions, compute the HCF of the numerators and the LCM of the denominators.

Answer 1

The Correct Option is C

To find the highest common factor (HCF) of the given fractions, we need to find the HCF of the numerators and the LCM of the denominators. The fractions are: \[ \frac{8}{5}, \quad \frac{6}{8}, \quad \frac{4}{25} \] 1. Find the HCF of the numerators: \[ \text{HCF of } 8, 6, 4 = 2 \] 2. Find the LCM of the denominators: \[ \text{LCM of } 5, 8, 25 = 200 \] Now, the HCF of the given fractions is: \[ \frac{\text{HCF of numerators}}{\text{LCM of denominators}} = \frac{2}{200} = \frac{1}{100} \] Thus, the correct answer is \( \boxed{1} \).