GCD of 47, 24, 31, 38 Calculator

Given Input numbers are 47, 24, 31, 38

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

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

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 47, 24, 31, 38 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 47, 24, 31, 38 is 1.

Therefore, GCD of numbers 47, 24, 31, 38 is 1

Given Input Data is 47, 24, 31, 38

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

Prime Factorization of 47 is 47

Prime Factorization of 24 is 2 x 2 x 2 x 3

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(47, 24) = 1128

GCD(47, 24) = ( 47 x 24 ) / 1128

GCD(47, 24) = 1128 / 1128

GCD(47, 24) = 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 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 47, 24, 31, 38 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 76, 18, 60, 65
• GCD of 34, 84, 68, 83
• GCD of 71, 49, 85, 60
• GCD of 83, 85, 53, 76
• GCD of 29, 18, 63, 97

1. What is the GCD of 47, 24, 31, 38?

GCD of 47, 24, 31, 38 is 1

2. Where do I get the detailed procedure to find GCD of 47, 24, 31, 38?

You can find a detailed procedure to find GCD of 47, 24, 31, 38 on our page.

3. How to find GCD of 47, 24, 31, 38 on a calculator?

You can find the GCD of 47, 24, 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.