The $LCM$ of two numbers is $1008$ and their $HCF$ is $36$. If one of the two numbers is $144$,find the other number.

The $HCF$ of $x^{8}-1$ and $x^{4}+2x^{3}-2x-1$ is

The $HCF$ of two numbers is $11$ and their $LCM$ is $7700.$ If one of the numbers is $275,$ then the other is:

Philip, Tom, and Brad start jogging around a circular field and complete a single round in $18\, \text{seconds}$, $22\, \text{seconds}$, and $30\, \text{seconds}$, respectively. In how much time will they meet again at the starting point?

$H.C.F.$ of $\frac{2}{3}, \frac{4}{5}$ and $\frac{6}{7}$ is

Three electronic devices make a beep after every $48\, seconds$,$72\, seconds$,and $108\, seconds$ respectively. They beeped together at $10:00\, a.m.$ The time when they will next make a beep together at the earliest is: