Three numbers are in the ratio $1: 2: 3$ and their $HCF$ is $12$. The numbers are:

What is the least number of cut pieces of equal length that can be cut out of two lengths $10\, m\, 857\, mm$ and $15\, m\, 87\, mm$?

$L.C.M.$ and $H.C.F.$ of two numbers $x$ and $y$ are $315$ and $3,$ respectively. If $x+y=36,$ the value of $\frac{1}{x}+\frac{1}{y}$ is

The sum of two numbers is $468$ and their $HCF$ is $39$. How many pairs of such numbers can be formed?

The least number of square tiles required to cover the ceiling of a room $15\, m\, 17\, cm$ long and $9\, m\, 2\, cm$ broad is:

Find the greatest number of four digits which is exactly divisible by $24, 28, 30$ and $35$.