Question

Найдите нок и нод 275;25;75

Answer 1

Ответ:

НОД(25,75,275)=5*5=25

25=5*5

75=3*5*5

275=5*5*11

НОК(25,75,275)=3*5*5*11=825

25=5*5

75=3*5*5

275=5*5*11

Пошаговое объяснение:

Answer 2

Ответ:

Пошаговое объяснение:

(275; 25; 75)

275 = 5 *5 *11

25 = 5 *5

75 = 3 *5 *5

Общие множители чисел: 5; 5

значит

НОД (275; 25; 75) = 5 *5 = 25

Чтобы определить НОК, необходимо недостающие множители (эти множители подчеркнуты)

НОК (275; 25; 75) = 5 *5 *11 *3 = 825

275 | 5             25 | 5              75  | 5

55  | 5               5 | 5               15  | 5

11  | 11                                        3 | 3

Answer 3

Finding the GCD and LCM of 275, 25, and 75

To find the greatest common divisor (GCD) and least common multiple (LCM) of three numbers, 275, 25, and 75, we can use the following formulas:

GCD(a, b, c) = GCD(GCD(a, b), c)

LCM(a, b, c) = LCM(LCM(a, b), c)

Let's calculate the GCD and LCM step by step:

1. Calculate the GCD of 275 and 25: - The prime factorization of 275 is 5 * 5 * 11. - The prime factorization of 25 is 5 * 5. - The common prime factors are 5 * 5, which gives us a GCD of 25.

2. Calculate the GCD of 25 (the previous GCD) and 75: - The prime factorization of 75 is 5 * 5 * 3. - The common prime factors with 25 are 5 * 5, which gives us a GCD of 25.

3. Calculate the LCM of 275 and 25: - The prime factorization of 275 is 5 * 5 * 11. - The prime factorization of 25 is 5 * 5. - The LCM should include all the prime factors with their highest powers, so the LCM is 5 * 5 * 11 = 275.

4. Calculate the LCM of 275 (the previous LCM) and 75: - The prime factorization of 75 is 5 * 5 * 3. - The LCM should include all the prime factors with their highest powers, so the LCM is 5 * 5 * 11 * 3 = 825.

Therefore, the GCD of 275, 25, and 75 is 25, and the LCM is 825.

Please let me know if there's anything else I can help you with!