Question

во сколько раз наименьшее общее кратное чисел 400 и 560 больше их наибольшего общего делителя?

Answer 1

НОК(400,560)=2800
НОД(400,560)=80
2800:80=35
в 35 раз НОД> НОК

Answer 2

Возможно, я ошибаюсь. Но, мне кажется, что решение здесь такое.

Наименьшее общее кратное 2800.
Наибольший общий делитель 80.
20:2=10 Следовательно, 20 меньше 2800 в 35 раз.

Answer 3

Calculating the Least Common Multiple (LCM) and Greatest Common Divisor (GCD)

To calculate the least common multiple (LCM) and greatest common divisor (GCD) of two numbers, we can use the following formulas:

Least Common Multiple (LCM): The LCM of two numbers, a and b, can be calculated using the formula: LCM(a, b) = (a * b) / GCD(a, b)

Greatest Common Divisor (GCD): The GCD of two numbers, a and b, can be calculated using various methods such as the Euclidean algorithm.

Calculating the LCM and GCD for 400 and 560

Let's calculate the LCM and GCD for the numbers 400 and 560.

Step 1: Calculating the GCD We can use the Euclidean algorithm to calculate the GCD of 400 and 560.

Step 2: Calculating the LCM Once we have the GCD, we can use the formula LCM(a, b) = (a * b) / GCD(a, b) to calculate the LCM of 400 and 560.

I'll now calculate the GCD and LCM for the numbers 400 and 560.