Question

найти наибольшее общее делитель чисел 198 126 36 144

Answer 1

198 : 2 = 99       126 : 2 = 63       36 : 2 = 18       144 : 2 = 72

99 : 3 = 33          63 : 3 = 21        18 : 2 = 9         72 : 2 = 36

33 : 3 = 11          21 : 3 = 7           9 : 3 = 3           36 : 2 = 18 

11 : 11 = 1          7 : 7 = 1             3 : 3 = 1           18 : 2 = 9

                                                                              9 : 3 = 3

                                                                              3 : 3 = 1

198 = 2 * 3 * 3 * 11

126 = 2 * 3 * 3 * 7

36 = 2 * 2 * 3 * 3

144 = 2 * 2 * 2 * 2 * 3 * 3

НОД (198; 126; 36; 144) = 2 * 3 * 3 = 18 - наибольший общий делитель

198 : 18 = 11;    126 : 18 = 7;    36 : 18 = 2;    144 : 18 = 8

Ответ: НОД = 18.