5. Найдите наибольший общий делитель и наименьшее общее кратное чисел по их разложению на простые множители: a=3.7.13; b=2.3.5.13; c=2.3.7-13.

a = 3 ⋅ 7 ⋅ 13 b = 2 ⋅ 3 ⋅ 5 ⋅ 13 c = 2 ⋅ 3 ⋅ 7 ⋅ 13 НОД (a, b, c) = 3 ⋅ 13 = 39 НОК (a, b, c) = 2 ⋅ 2 ⋅ 3 ⋅ 5 ⋅ 7 ⋅ 13 = 5460 Ответ: НОД = 39, НОК = 5460