Question

НОД (16,5); НОК (16,5)

Answer 1

Ответ:

НОД (16,5)=1

НОК (16,5)=80

Пошаговое объяснение:

Answer 2

To find the greatest common divisor (GCD) and the least common multiple (LCM) of two numbers, 16 and 5, you can use the following methods:

1. Greatest Common Divisor (GCD): The GCD is the largest positive integer that divides both numbers without leaving a remainder. One way to find the GCD is by using the Euclidean algorithm.

Step 1: Divide the larger number by the smaller number. Step 2: Replace the larger number with the smaller number, and the smaller number with the remainder. Step 3: Repeat steps 1 and 2 until the remainder becomes zero. The GCD will be the last non-zero remainder.

Let's apply the Euclidean algorithm:

Step 1: 16 ÷ 5 = 3 with a remainder of 1 Step 2: Now, 5 ÷ 1 = 5 with a remainder of 0

Since the remainder is zero, the GCD of 16 and 5 is 1.

2. Least Common Multiple (LCM): The LCM is the smallest positive multiple that is divisible by both numbers.

To find the LCM, you can use the formula:

LCM(a, b) = (|a * b|) / GCD(a, b)

where GCD(a, b) is the greatest common divisor of a and b.

Let's calculate the LCM:

LCM(16, 5) = (|16 * 5|) / GCD(16, 5) LCM(16, 5) = (|80|) / 1 LCM(16, 5) = 80

So, the LCM of 16 and 5 is 80.