Question

Ндите плиз нод чисел 99 165 231

Answer 1

Ответ:

33

Пошаговое объяснение:

Answer 2

Sure, to find the nod (greatest common divisor) of the numbers 99, 165, and 231, we can use the Euclidean algorithm. The greatest common divisor is the largest positive integer that divides each of the numbers without leaving a remainder.

Here's how we can find it step by step:

Step 1: Find the nod(99, 165) We use the Euclidean algorithm to find the greatest common divisor of 99 and 165.

165 = 99 * 1 + 66 Now, we take the divisor (99) as the new dividend and the remainder (66) as the new divisor.

99 = 66 * 1 + 33 Again, we take the divisor (66) as the new dividend and the remainder (33) as the new divisor.

66 = 33 * 2 + 0 Since the remainder is 0, the algorithm stops, and the last nonzero remainder (33) is the greatest common divisor (nod) of 99 and 165.

Step 2: Find the nod(nod(99, 165), 231) Now, we need to find the greatest common divisor of the result from Step 1 (nod(99, 165) = 33) and 231.

231 = 33 * 7 + 0 Since the remainder is 0, the greatest common divisor (nod) of 33 and 231 is 33.

Therefore, the nod of the numbers 99, 165, and 231 is 33.