What is the GCD of 16 and 32
The greatest common divisor (GCD) of 16 and 32 is 16.
To find the greatest common divisor (GCD) of 16 and 32, you can use the Euclidean algorithm. Here's how you can determine the GCD step by step:
Step 1: Divide the larger number by the smaller number. In this case, divide 32 by 16:
32 ÷ 16 = 2
Step 2: Take the remainder of the division. In this case, the remainder is 0.
Step 3: If the remainder is 0, then the smaller number (16) is the GCD. Therefore, the GCD of 16 and 32 is 16.
So, the GCD of 16 and 32 is 16.
To find the Greatest Common Divisor (GCD) of two numbers, you can use a method called Euclidean algorithm. Here's how you can apply it to find the GCD of 16 and 32:
1. Start by dividing the larger number (32) by the smaller number (16). The divisor will be the remainder (32 ÷ 16 = 2 remainder 0).
2. Since the remainder is 0, 16 is the GCD of 16 and 32.
Therefore, the GCD of 16 and 32 is 16.