Предмет: Математика, автор: aripowa96

Найти все натуральные числа а и в, для которых НОД и НОК равны соответственно 120и180

Ответы

Автор ответа: nelle987

Таких чисел нет.

Заметим, что оба числа должны делиться на НОД, а НОК делится на каждое из чисел, значит, НОК делится на НОД. Но 180 не делится на 120, поэтому так не бывает.

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