$ \begin{array}{r|l} 12 & 2\\ 6 & 2\\ 3 & 3\\ 1 & \end{array} $
$12 = 2^2 * 3$
$ \begin{array}{r|l} 35 & 5\\ 7 & 7\\ 1 & \end{array} $
35 = 5 * 7
НОД(12;35) = 1
$\frac{12}{35}$ − дробь сократить нельзя

$ \begin{array}{r|l} 48 & 2\\ 24 & 2\\ 12 & 2\\ 6 & 2\\ 3 & 3\\ 1 & \end{array} $
$48 = 2^4 * 3$
$ \begin{array}{r|l} 100 & 2\\ 50 & 2\\ 25 & 5\\ 5 & 5\\ 1 & \end{array} $
$100 = 2^2 * 5^2$
НОД(48;100) = 4
$\frac{48}{100} = \frac{48 : 4}{100 : 4} = \frac{12}{25}$

$ \begin{array}{r|l} 105 & 3\\ 35 & 5\\ 7 & 7\\ 1 & \end{array} $
105 = 3 * 5 * 7
$ \begin{array}{r|l} 125 & 5\\ 25 & 5\\ 5 & 5\\ 1 & \end{array} $
$125 = 5^3$
НОД(105;125) = 5
$\frac{105}{125} = \frac{105 : 5}{125 : 5} = \frac{21}{25}$

$ \begin{array}{r|l} 24 & 2\\ 12 & 2\\ 6 & 2\\ 3 & 3\\ 1 & \end{array} $
$24 = 2^3 * 3$
$ \begin{array}{r|l} 36 & 2\\ 18 & 2\\ 9 & 3\\ 3 & 3\\ 1 & \end{array} $
$36 = 2^2 * 3^2$
НОД(24;36) = 12
$\frac{24}{36} = \frac{24 : 12}{36 : 12} = \frac{2}{3}$

$ \begin{array}{r|l} 56 & 2\\ 28 & 2\\ 14 & 2\\ 7 & 7\\ 1 & \end{array} $
$56 = 2^3 * 7$
$ \begin{array}{r|l} 100 & 2\\ 50 & 2\\ 25 & 5\\ 5 & 5\\ 1 & \end{array} $
$100 = 2^2 * 5^2$
НОД(56;100) = 4
$\frac{56}{100} = \frac{56 : 4}{100 : 4} = \frac{14}{25}$

$ \begin{array}{r|l} 225 & 3\\ 75 & 3\\ 25 & 5\\ 5 & 5\\ 1 & \end{array} $
$225 = 3^2 * 5^2$
$ \begin{array}{r|l} 300 & 2\\ 150 & 2\\ 75 & 3\\ 25 & 5\\ 5 & 5\\ 1 & \end{array} $
$300 = 2^2 * 3 * 5^2$
НОД(225;300) = 25
$\frac{225}{300} = \frac{225 : 25}{300 : 25} = \frac{9}{10}$

$ \begin{array}{r|l} 123 & 3\\ 41 & 41\\ 1 & \end{array} $
123 = 3 * 41
$ \begin{array}{r|l} 321 & 3\\ 107 & 107\\ 1 & \end{array} $
321 = 3 * 107
НОД(123;321) = 3
$\frac{123}{321} = \frac{123 : 3}{321 : 3} = \frac{41}{107}$

$ \begin{array}{r|l} 111 & 3\\ 37 & 37\\ 1 & \end{array} $
111 = 3 * 37
$ \begin{array}{r|l} 132 & 2\\ 66 & 2\\ 33 & 3\\ 11 & 11\\ 1 & \end{array} $
$132 = 2^2 * 3 * 11$
НОД(111;1332) = 3
$\frac{111}{132} = \frac{111 : 3}{132 : 3} = \frac{37}{44}$