Question

НОД(24;96) НОД (18;90) НОД (72;144) Помогите, пожалуйста <3

Answer 1

24 = 2 * 2 * 2 * 3         96 = 2 * 2 * 2 * 2 * 2 * 3
НОД (24; 96) = 2 * 2 * 2 * 3 = 24 - наибольший общий делитель

18 = 2 * 3 * 3       90 = 2 * 3 * 3 * 5
НОД (18; 90) = 2 * 3 * 3 = 18 - наибольший общий делитель

72 = 2 * 2 * 2 * 3 * 3       144 = 2 * 2 * 2 * 2 * 3 * 3
НОД (72; 144) = 2 * 2 * 2 * 3 * 3 = 72 - наибольший общий делитель

Answer 2

Calculating the Greatest Common Divisor (GCD)

To find the greatest common divisor (GCD) of two numbers, we can use the Euclidean algorithm. The Euclidean algorithm states that the GCD of two numbers is equal to the GCD of the remainder when the larger number is divided by the smaller number.

Let's calculate the GCD for the given pairs of numbers:

1. GCD(24, 96): - We divide 96 by 24, and the remainder is 0. - Therefore, the GCD(24, 96) is 24.

2. GCD(18, 90): - We divide 90 by 18, and the remainder is 0. - Therefore, the GCD(18, 90) is 18.

3. GCD(72, 144): - We divide 144 by 72, and the remainder is 0. - Therefore, the GCD(72, 144) is 72.

So, the GCD for the given pairs of numbers is 24, 18, and 72.

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