Is it possible to divide $1,000$ into two parts such that their $HCF$ is $15$?

The $HCF$ and $LCM$ of two numbers are $21$ and $84$ respectively. If the ratio of the two numbers is $1:4$,then the larger of the two numbers is

Find the greatest number which will divide $3962, 4085$ and $4167$ leaving the same remainder in each case.

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

Amit,Sucheta,and Neeti start running around a circular track and complete one round in $18 \text{ seconds}$,$24 \text{ seconds}$,and $32 \text{ seconds}$,respectively. In how many seconds will the three meet again at the starting point if they all started running at the same time?

If the sum of two numbers is $55$ and the $HCF$ and $LCM$ of these numbers are $5$ and $120$ respectively,then the sum of the reciprocals of the numbers is equal to