GCD of 638, 974, 31, 586 Calculator

Given Input numbers are 638, 974, 31, 586

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

Divisors of 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Divisors of 31

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

1, 31

Divisors of 586

List of positive integer divisors of 586 that divides 586 without a remainder.

1, 2, 293, 586

Greatest Common Divisior

We found the divisors of 638, 974, 31, 586 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 638, 974, 31, 586 is 1.

Therefore, GCD of numbers 638, 974, 31, 586 is 1

Given Input Data is 638, 974, 31, 586

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

Prime Factorization of 638 is 2 x 11 x 29

Prime Factorization of 974 is 2 x 487

Prime Factorization of 31 is 31

Prime Factorization of 586 is 2 x 293

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(638, 974) = 310706

GCD(638, 974) = ( 638 x 974 ) / 310706

GCD(638, 974) = 621412 / 310706

GCD(638, 974) = 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 586

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

LCM(1, 586) = 586

GCD(1, 586) = ( 1 x 586 ) / 586

GCD(1, 586) = 586 / 586

GCD(1, 586) = 1

GCD of 638, 974, 31, 586 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 526, 307, 90, 852
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• GCD of 492, 138, 68, 221
• GCD of 173, 298, 30, 221
• GCD of 377, 231, 53, 627

1. What is the GCD of 638, 974, 31, 586?

GCD of 638, 974, 31, 586 is 1

2. Where do I get the detailed procedure to find GCD of 638, 974, 31, 586?

You can find a detailed procedure to find GCD of 638, 974, 31, 586 on our page.

3. How to find GCD of 638, 974, 31, 586 on a calculator?

You can find the GCD of 638, 974, 31, 586 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.