Find the smallest number which leaves remainders $8$ and $12$ when divided by $28$ and $32$ respectively.

For the following pair of numbers, verify the property:

Product of numbers $=$Product of their$\mathrm{H}.\mathrm{C}.\mathrm{F}$ and $\mathrm{L}.\mathrm{C}.\mathrm{M}$

$25, 65$

For the following pair of numbers, verify the property:

Product of numbers $=$Product of their$\mathrm{H}.\mathrm{C}.\mathrm{F}$ and $\mathrm{L}.\mathrm{C}.\mathrm{M}$

$117, 221$

For the following pair of numbers, verify the property:

Product of numbers $=$Product of their$\mathrm{H}.\mathrm{C}.\mathrm{F}$ and $\mathrm{L}.\mathrm{C}.\mathrm{M}$

$35, 40$

For the following pairs of numbers, verify the property:

Product of numbers $=$Product of their$\mathrm{H}.\mathrm{C}.\mathrm{F}$ and $\mathrm{L}.\mathrm{C}.\mathrm{M}$

$87, 145$

For the following pair of numbers, verify the property:

Product of numbers $=$Product of their$\mathrm{H}.\mathrm{C}.\mathrm{F}$ and $\mathrm{L}.\mathrm{C}.\mathrm{M}$

$490, 1155$

Find the $\mathrm{H}.\mathrm{C}.\mathrm{F}$ and $\mathrm{L}.\mathrm{C}.\mathrm{F}$ of $117$ and $221$.

Find the $\mathrm{H}.\mathrm{C}.\mathrm{F}$ and $\mathrm{L}.\mathrm{C}.\mathrm{F}$ of the following pairs of numbers :

$234, 572$

Find the $\mathrm{H}.\mathrm{C}.\mathrm{F}$ and $\mathrm{L}.\mathrm{C}.\mathrm{F}$ of the following pairs of numbers :

$145, 232$