GCD of 20, 16, 23, 38 Calculator

Given Input numbers are 20, 16, 23, 38

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

Divisors of 20

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

1, 2, 4, 5, 10, 20

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

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 20, 16, 23, 38 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 20, 16, 23, 38 is 1.

Therefore, GCD of numbers 20, 16, 23, 38 is 1

Given Input Data is 20, 16, 23, 38

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

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 23 is 23

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(20, 16) = 80

GCD(20, 16) = ( 20 x 16 ) / 80

GCD(20, 16) = 320 / 80

GCD(20, 16) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 23

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

LCM(4, 23) = 92

GCD(4, 23) = ( 4 x 23 ) / 92

GCD(4, 23) = 92 / 92

GCD(4, 23) = 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 20, 16, 23, 38 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 12, 28, 63, 86
• GCD of 50, 31, 29, 17
• GCD of 58, 65, 64, 51
• GCD of 91, 79, 49, 60
• GCD of 22, 11, 47, 95

1. What is the GCD of 20, 16, 23, 38?

GCD of 20, 16, 23, 38 is 1

2. Where do I get the detailed procedure to find GCD of 20, 16, 23, 38?

You can find a detailed procedure to find GCD of 20, 16, 23, 38 on our page.

3. How to find GCD of 20, 16, 23, 38 on a calculator?

You can find the GCD of 20, 16, 23, 38 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.