Find the HCF of $$\frac{2}{9}, \frac{16}{81}, \frac{32}{117} and \frac{54}{189}$$.​

Correct option is C

​Given:

Fractions: $$\frac{2}{9}, \frac{16}{81}, \frac{32}{117}, \frac{54}{189}$$​

Formula used:

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

Solution:

Numerators: $$2, 16, 32, 54$$​

​$$\text{HCF of } 2, 16, 32, 54 = 2$$​​

Denominators: $$9, 81, 117, 189$$​

​$$\text{LCM of } 9, 81, 117, 189 = 7371$$​​

HCF of fractions:

​$$\text{HCF} = \frac{2}{7371}$$​​