875 и 1225
$ \begin{array}{r|l} 875 & 5\\ 175 & 5\\ 35 & 5\\ 7 & 7\\ 1 & \end{array} $
875 = 5 * 5 * 5 * 7

$ \begin{array}{r|l} 1225 & 5\\ 245 & 5\\ 49 & 7\\ 7 & 7\\ 1 & \end{array} $
1225 = 5 * 5 * 7 * 7
НОД(875; 1225) = 5 * 5 * 7 = 25 * 7 = 175

60, 132 и 240
$ \begin{array}{r|l} 60 & 2\\ 30 & 2\\ 15 & 3\\ 5 & 5\\ 1 & \end{array} $
60 = 2 * 2 * 3 * 5

$ \begin{array}{r|l} 132 & 2\\ 66 & 2\\ 33 & 3\\ 11 & 11\\ 1 & \end{array} $
132 = 2 * 2 * 3 * 11

$ \begin{array}{r|l} 240 & 2\\ 120 & 2\\ 60 & 2\\ 30 & 2\\ 15 & 3\\ 5 & 5\\ 1 & \end{array} $
240 = 2 * 2 * 2 * 2 * 3 * 5
НОД(60; 132; 240) = 2 * 2 * 3 = 4 * 3 = 12