Question

НОД и НОК 258 и 215

Answer 1

258|2 215|43
129|3 5|5
43|43 0
0

258=2×3×43
215=43×5
зачеркиваем все кроме 43 и получаеи


добавляем "5" к простым множетелям "258"
2×3×5×43

Answer 2

To find the greatest common divisor (НОД) and least common multiple (НОК) of two numbers, 258 and 215, you can follow these steps:

Step 1: Find the Greatest Common Divisor (НОД) The greatest common divisor (НОД) is the largest positive integer that divides both numbers without leaving a remainder.

To find the НОД of 258 and 215, you can use the Euclidean algorithm:

1. Divide the larger number by the smaller number: 258 ÷ 215 = 1 with a remainder of 43.
2. Now, take the divisor (215) as the new dividend and the remainder (43) as the new divisor.
3. Repeat the process: 215 ÷ 43 = 5 with a remainder of 0.

Since the remainder is 0, the last divisor (43) is the greatest common divisor (НОД) of 258 and 215.

So, НОД(258, 215) = 43.

Step 2: Find the Least Common Multiple (НОК) The least common multiple (НОК) is the smallest positive integer that is a multiple of both numbers.

To find the НОК of 258 and 215, you can use the formula:

НОК(a, b) = |a * b| / НОД(a, b)

where |a * b| represents the absolute value of the product of a and b.

НОК(258, 215) = |258 * 215| / НОД(258, 215) = (55370) / 43 = 1286

So, НОК(258, 215) = 1286.

In summary: НОД(258, 215) = 43 НОК(258, 215) = 1286