GCD of 54, 20, 31, 38 Calculator

Given Input numbers are 54, 20, 31, 38

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

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

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 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Greatest Common Divisior

We found the divisors of 54, 20, 31, 38 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 54, 20, 31, 38 is 1.

Therefore, GCD of numbers 54, 20, 31, 38 is 1

Given Input Data is 54, 20, 31, 38

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

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 31 is 31

Prime Factorization of 38 is 2 x 19

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(54, 20) = 540

GCD(54, 20) = ( 54 x 20 ) / 540

GCD(54, 20) = 1080 / 540

GCD(54, 20) = 2

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 38

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

LCM(1, 38) = 38

GCD(1, 38) = ( 1 x 38 ) / 38

GCD(1, 38) = 38 / 38

GCD(1, 38) = 1

GCD of 54, 20, 31, 38 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 83, 22, 34, 27
• GCD of 13, 88, 81, 37
• GCD of 18, 25, 10, 39
• GCD of 72, 47, 29, 73
• GCD of 62, 98, 26, 24

1. What is the GCD of 54, 20, 31, 38?

GCD of 54, 20, 31, 38 is 1

2. Where do I get the detailed procedure to find GCD of 54, 20, 31, 38?

You can find a detailed procedure to find GCD of 54, 20, 31, 38 on our page.

3. How to find GCD of 54, 20, 31, 38 on a calculator?

You can find the GCD of 54, 20, 31, 38 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.