GCD of 32, 6, 20, 31 Calculator

Given Input numbers are 32, 6, 20, 31

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 6

List of positive integer divisors of 6 that divides 6 without a remainder.

1, 2, 3, 6

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Greatest Common Divisior

We found the divisors of 32, 6, 20, 31 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 32, 6, 20, 31 is 1.

Therefore, GCD of numbers 32, 6, 20, 31 is 1

Given Input Data is 32, 6, 20, 31

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 6 is 2 x 3

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 31 is 31

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(32, 6) = 96

GCD(32, 6) = ( 32 x 6 ) / 96

GCD(32, 6) = 192 / 96

GCD(32, 6) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 20

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 20) = 20

GCD(2, 20) = ( 2 x 20 ) / 20

GCD(2, 20) = 40 / 20

GCD(2, 20) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 31

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 31) = 62

GCD(2, 31) = ( 2 x 31 ) / 62

GCD(2, 31) = 62 / 62

GCD(2, 31) = 1

GCD of 32, 6, 20, 31 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 99, 4, 52, 98
• GCD of 71, 1, 88, 84
• GCD of 56, 8, 44, 35
• GCD of 63, 4, 92, 69
• GCD of 61, 8, 29, 87

1. What is the GCD of 32, 6, 20, 31?

GCD of 32, 6, 20, 31 is 1

2. Where do I get the detailed procedure to find GCD of 32, 6, 20, 31?

You can find a detailed procedure to find GCD of 32, 6, 20, 31 on our page.

3. How to find GCD of 32, 6, 20, 31 on a calculator?

You can find the GCD of 32, 6, 20, 31 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.