Знайдіть найбільший спільний дільник чисел 12 і 18 ;24 і 30; 6 і 36; 48 і 64; 35 і 18;14, 21 і 28
БУДЬ ЛАСКА ШВИДКО ДУЖЕ ПОТРІБНО , ДАЮ 20 БАЛІВОтветы на вопрос
Ответ:
1)6 2)6 3)6 4)8 5) 6)7
Пошаговое объяснение:
35 і. 18 незнаю
Finding the Greatest Common Divisor (GCD)
To find the greatest common divisor (GCD) of two numbers, we can use the Euclidean algorithm. The Euclidean algorithm is an efficient method for finding the GCD of two numbers by repeatedly dividing the larger number by the smaller number and taking the remainder until the remainder is zero.
Let's find the GCD for each pair of numbers you provided:
1. GCD of 12 and 18: - We start by dividing 18 by 12, which gives us a remainder of 6. - Then, we divide 12 by 6, which gives us a remainder of 0. - Therefore, the GCD of 12 and 18 is 6.
2. GCD of 24 and 30: - We start by dividing 30 by 24, which gives us a remainder of 6. - Then, we divide 24 by 6, which gives us a remainder of 0. - Therefore, the GCD of 24 and 30 is 6.
3. GCD of 6 and 36: - We start by dividing 36 by 6, which gives us a remainder of 0. - Therefore, the GCD of 6 and 36 is 6.
4. GCD of 48 and 64: - We start by dividing 64 by 48, which gives us a remainder of 16. - Then, we divide 48 by 16, which gives us a remainder of 0. - Therefore, the GCD of 48 and 64 is 16.
5. GCD of 35 and 18: - We start by dividing 35 by 18, which gives us a remainder of 17. - Then, we divide 18 by 17, which gives us a remainder of 1. - Finally, we divide 17 by 1, which gives us a remainder of 0. - Therefore, the GCD of 35 and 18 is 1.
6. GCD of 14, 21, and 28: - We can find the GCD of multiple numbers by finding the GCD of the first two numbers and then finding the GCD of the result with the next number, and so on. - GCD of 14 and 21 is 7. - GCD of 7 and 28 is 7. - Therefore, the GCD of 14, 21, and 28 is 7.
I hope this helps! Let me know if you have any further questions.
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