Question

Find the H.C.F. and L.C.M. of $\frac{6}{7},\frac{24}{35}$ and $\frac{42}{49}$

Answer 1

H.C.F. of given fractions = $\frac{H\cdot C\cdot F\cdot ofnumerators}{L\cdot C\cdot M\cdot ofdenominators}$

= $\frac{H\cdot C\cdot F\cdot of6,24and42}{L\cdot C\cdot M\cdot of7,35and49}=\frac{6}{245}$
L.C.M. of given fractions = $\frac{L\cdot C\cdot M\cdot ofnumberators}{H\cdot C\cdot F\cdot ofdenominators}$

= $\frac{L\cdot C\cdot M\cdot of6,24and42}{H\cdot C\cdot F\cdot of7,35and49}=\frac{168}{7}$