Calculate the HCF of $$\frac{{12}}{5},\,\frac{{14}}{{15}}$$  and $$\frac{{16}}{{17}}.$$

A. $$\frac{4}{{255}}$$

B. $$\frac{3}{{255}}$$

C. $$\frac{2}{{255}}$$

D. $$\frac{1}{{255}}$$

Answer: Option C

Solution(By Examveda Team)

$$\eqalign{ & {\text{HCF of }}\frac{{12}}{5},\,\frac{{14}}{{15}}{\text{ and}}\frac{{16}}{{17}} \cr & \frac{{{\text{HCF of}}\,12,\,14,\,16}}{{{\text{LCM of}}\,5,\,15,\,17}} = \frac{2}{{255}} \cr} $$