What is the HCF of the fractions $\frac{4}{9}$, $\frac{10}{21}$ and $\frac{8}{15}$?

Explanation

1. 01

   HCF of fractions = $\frac{\text{HCF of numerators}}{\text{LCM of denominators}}$.

2. 02

   $\operatorname{HCF}(4, 10, 8) = 2$.

3. 03

   LCM(9, 21, 15) = $3^2 \times 5 \times 7 = 315$.

4. 04

   HCF = $\frac{2}{315}$.