Назовите наибольший общий делитель чисел m и n, если: a) m = 2 * 2 * 2 * 3 * 3 и n = 2 * 3 * 3 * 3 б) m = 2 * 5 * 5 * 7 * 7 * 7 и n = 3 * 3 * 5 * 7

а) m = 2 × 2 × 2 × 3 × 3 и n = 2 × 3 × 3 × 3

m = $$2^3$$ × $$3^2$$

n = 2 × $$3^3$$

НОД (m, n) = 2 × $$3^2$$ = 2 × 9 = 18

б) m = 2 × 5 × 5 × 7 × 7 × 7 и n = 3 × 3 × 5 × 7

m = 2 × $$5^2$$ × $$7^3$$

n = $$3^2$$ × 5 × 7

НОД (m, n) = 5 × 7 = 35