Question

Вычислите: а) НОК(35; 77):НОД(35;77) в) НОК(21; 84):НОД(21;84) б) НОК(96;26):НОД(96;26) Какой вывод можно сделать?

Answer 1

Ответ:А)НОК (35; 77) = 7 * 11 * 5 = 77 * 5 = 385 НОД (35; 77) = 7 * 1 = 7.

Б)НОК (21, 84) = 84 НОД (21; 84) = 3 • 7 = 21

В)НОК (96; 26) = 96 * 13 = 1248 НОД (96; 26) = 2 * 1 = 2.

Пошаговое объяснение:

Answer 2

Calculation of NOK and GCD

To calculate the NOK (Least Common Multiple) and GCD (Greatest Common Divisor) of two numbers, we need to use the following formulas:

- NOK(a, b) = (a * b) / GCD(a, b) - GCD(a, b) = GCD(b, a % b)

Let's calculate the values:

a) NOK(35, 77):GCD(35, 77) - GCD(35, 77) = GCD(77, 35) = GCD(35, 7) = GCD(7, 0) = 7 - NOK(35, 77) = (35 * 77) / 7 = 2695

b) NOK(21, 84):GCD(21, 84) - GCD(21, 84) = GCD(84, 21) = GCD(21, 0) = 21 - NOK(21, 84) = (21 * 84) / 21 = 84

c) NOK(96, 26):GCD(96, 26) - GCD(96, 26) = GCD(26, 96) = GCD(96, 26) = GCD(26, 18) = GCD(18, 8) = GCD(8, 2) = GCD(2, 0) = 2 - NOK(96, 26) = (96 * 26) / 2 = 1248

Conclusion

From the calculations above, we can conclude the following:

a) NOK(35, 77) = 2695 b) NOK(21, 84) = 84 c) NOK(96, 26) = 1248

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