LCM and HCF of Fractions

Find the HCF of the following fractions:

$\frac{5}{7}, \frac{10}{21}, \frac{30}{35}$

Find the HCF of the following fractions:

$\frac{5}{7}, \frac{11}{21}, \frac{3}{14}$

Find the LCM of the following fractions:

$\frac{5}{3},\frac{2}{6},\frac{7}{9}$

Find LCM of the following fractions: 

$\frac{2}{3}, \frac{3}{5}, \frac{5}{7}$

If $\beta$ is the $HCF$ of $\frac{105}{36}, \frac{150}{54} \& \frac{210}{126}$, then find the number whose sum with reciprocal of $\beta$ is $60$.

If $\alpha$ is the $HCF$ of $\frac{54}{30}, \frac{90}{75} \& \frac{108}{180}$, then find the value of $\left\{\frac{1}{\alpha }+{\left(\frac{1}{\alpha }\right)}^2\right\}$.

If $z$ is the $HCF$ of $\frac{4}{9}\&\frac{8}{21}$, then find the value of $\sqrt{\frac{1}{z}+\frac{1}{4}}$.

If $a$ is the $HCF$ of $3\frac{1}{4}, 5\frac{1}{5} \& 3\frac{5}{7}$, then find the value of $\sqrt{a\times \frac{7}{260}}$.

If $x$ is the $HCF$ of $\frac{2}{6}, \frac{3}{5},\frac{ 7}{8} \&\frac{5}{12}$, then find the value of $x$.

If $z$ is the $LCM$ of $\frac{7}{20}, \frac{5}{30} \& \frac{9}{40}$ and $a$ is an even prime number, then find the sum of $z$ and reciprocal of $a$.

If $A$ is the $LCM$ of $\frac{5}{4}, \frac{15}{8} \& \frac{5}{3}$, then find the sum of $A$ and its reciprocal.

If $y$ is the $LCM$ of $\frac{24}{11} \& \frac{18}{33}$, then find the value of  $\sqrt{2y}$.

If $x$ is the $LCM$ of $1\frac{1}{6}, 1\frac{5}{9} \& 4\frac{1}{12}$, then find the value of $\sqrt[3]{x+9}$.

If $x$ is the $LCM$ of $1\frac{2}{7}, 2\frac{2}{5} \& 2\frac{2}{3}$, then find the value of $\sqrt{x+9}$.

Find the HCF of : $\frac{1}{2}$, $\frac{3}{4}$,$\frac{5}{6}$, $\frac{7}{8}$ and $\frac{9}{10}$.

What will be the H.C.F. of $\frac{4}{5}$, $\frac{3}{10}$ and $\frac{7}{15}$

Find the LCM of : $\frac{8}{21}$ and $\frac{6}{35}$

The H.C.F. of the fractions $\frac{8}{21},\frac{12}{35}$ and $\frac{32}{7}$ is

Find the Lowest Common Multiple(L.C.M) of : $\frac{3}{5}$ and $\frac{7}{10}$.

Find the HCF of $\frac{8}{21}$and $\frac{6}{35}$