GCD of 31, 639, 472, 831 Calculator

Given Input numbers are 31, 639, 472, 831

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

Divisors of 31

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

1, 31

Divisors of 639

List of positive integer divisors of 639 that divides 639 without a remainder.

1, 3, 9, 71, 213, 639

Divisors of 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 831

List of positive integer divisors of 831 that divides 831 without a remainder.

1, 3, 277, 831

Greatest Common Divisior

We found the divisors of 31, 639, 472, 831 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 31, 639, 472, 831 is 1.

Therefore, GCD of numbers 31, 639, 472, 831 is 1

Given Input Data is 31, 639, 472, 831

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

Prime Factorization of 31 is 31

Prime Factorization of 639 is 3 x 3 x 71

Prime Factorization of 472 is 2 x 2 x 2 x 59

Prime Factorization of 831 is 3 x 277

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(31, 639) = 19809

GCD(31, 639) = ( 31 x 639 ) / 19809

GCD(31, 639) = 19809 / 19809

GCD(31, 639) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 472

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

LCM(1, 472) = 472

GCD(1, 472) = ( 1 x 472 ) / 472

GCD(1, 472) = 472 / 472

GCD(1, 472) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 831

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

LCM(1, 831) = 831

GCD(1, 831) = ( 1 x 831 ) / 831

GCD(1, 831) = 831 / 831

GCD(1, 831) = 1

GCD of 31, 639, 472, 831 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 17, 709, 954, 438
• GCD of 82, 734, 239, 447
• GCD of 37, 256, 920, 221
• GCD of 25, 224, 458, 981
• GCD of 39, 168, 803, 791

1. What is the GCD of 31, 639, 472, 831?

GCD of 31, 639, 472, 831 is 1

2. Where do I get the detailed procedure to find GCD of 31, 639, 472, 831?

You can find a detailed procedure to find GCD of 31, 639, 472, 831 on our page.

3. How to find GCD of 31, 639, 472, 831 on a calculator?

You can find the GCD of 31, 639, 472, 831 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.