Question

как отличается нод нок пример пж

Answer 1

Наибольший Общий Делитель. Для чисел 60 и 72 
Каждое из чисел раскладываешь на множители простые числа, пример: 
60 2 
30 2 
15 3 
5 5 
========== 
72 2 
36 2 
18 2 
9 3 
3 3 
Общими из них будут две 2-ойки и 3-йка перемножаем их 2*2*3=12 НОД=12 
Для нахождения НОК выбираем все множители, а те что общие, только 1 раз 
две двойки и 1 тройка повторяются, поэтому берем их только по 1 разу. 
(2*2*3*5) * (2*3)=360 
Со второго числа берем недостающие 2 и 3 (все остальные повторяются)

Answer 2

Difference Between GCD (Greatest Common Divisor) and LCM (Least Common Multiple)

GCD (Greatest Common Divisor): The greatest common divisor (GCD) of two or more integers is the largest positive integer that divides each of the integers without leaving a remainder. It is also known as the greatest common factor (GCF) or highest common factor (HCF).

LCM (Least Common Multiple): The least common multiple (LCM) of two or more integers is the smallest positive integer that is a multiple of each of the integers. It is also known as the lowest common multiple.

Example: Let's consider the numbers 12 and 15.

The factors of 12 are 1, 2, 3, 4, 6, and 12. The factors of 15 are 1, 3, 5, and 15.

The GCD of 12 and 15 is 3, as 3 is the largest number that divides both 12 and 15 without leaving a remainder.

The LCM of 12 and 15 is 60, as 60 is the smallest number that is a multiple of both 12 and 15.

Citations: - Source "The greatest common divisor (GCD) of two or more integers is the largest positive integer that divides each of the integers without leaving a remainder." - Source "The least common multiple (LCM) of two or more integers is the smallest positive integer that is a multiple of each of the integers."

I hope this helps! If you have further questions or need additional examples, feel free to ask.