The H.C.F. of $$\frac{{9}}{{10}},$$ $$\frac{{12}}{{25}},$$ $$\frac{{18}}{{35}}$$ and $$\frac{{21}}{{40}}$$ is:

A. $$\frac{{3}}{{5}}$$

B. $$\frac{{252}}{{5}}$$

C. $$\frac{{3}}{{1400}}$$

D. $$\frac{{63}}{{700}}$$

Answer: Option C

Solution(By Examveda Team)

$$\eqalign{ & {\text{Required}}\,{\text{H}}{\text{.C}}{\text{.F}}{\text{.}} \cr & = \frac{{{\text{H}}{\text{.C}}{\text{.F}}{\text{.}}\,{\text{of}}\,9,\,12,\,18,\,21}}{{{\text{L}}{\text{.C}}{\text{.M}}{\text{.}}\,{\text{of}}\,10,\,25,\,35,\,40}} \cr & = \frac{3}{{1400}} \cr} $$