GCD of 99, 20, 31, 72 Calculator

Given Input numbers are 99, 20, 31, 72

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

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

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

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Greatest Common Divisior

We found the divisors of 99, 20, 31, 72 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 99, 20, 31, 72 is 1.

Therefore, GCD of numbers 99, 20, 31, 72 is 1

Given Input Data is 99, 20, 31, 72

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

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 31 is 31

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

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(99, 20) = 1980

GCD(99, 20) = ( 99 x 20 ) / 1980

GCD(99, 20) = 1980 / 1980

GCD(99, 20) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 31

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

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

GCD(1, 31) = 31 / 31

GCD(1, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 72

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

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

GCD(1, 72) = 72 / 72

GCD(1, 72) = 1

GCD of 99, 20, 31, 72 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 40, 91, 83, 25
• GCD of 65, 43, 46, 41
• GCD of 94, 17, 37, 11
• GCD of 74, 47, 16, 96
• GCD of 49, 99, 94, 66

1. What is the GCD of 99, 20, 31, 72?

GCD of 99, 20, 31, 72 is 1

2. Where do I get the detailed procedure to find GCD of 99, 20, 31, 72?

You can find a detailed procedure to find GCD of 99, 20, 31, 72 on our page.

3. How to find GCD of 99, 20, 31, 72 on a calculator?

You can find the GCD of 99, 20, 31, 72 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.