6. Find the highest common factor of: a) 27 and 45; b) 50 and 75; c) 40 and 72.

Перевод задания: Найдите наибольший общий делитель (НОД): а) 27 и 45; б) 50 и 75; в) 40 и 72.

Solution

1. a) 27 = 3 × 9 and 45 = 5 × 9, so the highest common factor is 9.
2. b) 50 = 2 × 25 and 75 = 3 × 25, so the highest common factor is 25.
3. c) 40 = 5 × 8 and 72 = 9 × 8, so the highest common factor is 8.

Перевод решения:

1. а) 27 = 3 × 9, а 45 = 5 × 9, значит, НОД равен 9.
2. б) 50 = 2 × 25, а 75 = 3 × 25, значит, НОД равен 25.
3. в) 40 = 5 × 8, а 72 = 9 × 8, значит, НОД равен 8.