GCD of 30, 813, 600, 631 Calculator

Given Input numbers are 30, 813, 600, 631

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

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 813

List of positive integer divisors of 813 that divides 813 without a remainder.

1, 3, 271, 813

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 631

List of positive integer divisors of 631 that divides 631 without a remainder.

1, 631

Greatest Common Divisior

We found the divisors of 30, 813, 600, 631 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 30, 813, 600, 631 is 1.

Therefore, GCD of numbers 30, 813, 600, 631 is 1

Given Input Data is 30, 813, 600, 631

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

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 813 is 3 x 271

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

Prime Factorization of 631 is 631

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(30, 813) = 8130

GCD(30, 813) = ( 30 x 813 ) / 8130

GCD(30, 813) = 24390 / 8130

GCD(30, 813) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 600

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

LCM(3, 600) = 600

GCD(3, 600) = ( 3 x 600 ) / 600

GCD(3, 600) = 1800 / 600

GCD(3, 600) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 631

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

LCM(3, 631) = 1893

GCD(3, 631) = ( 3 x 631 ) / 1893

GCD(3, 631) = 1893 / 1893

GCD(3, 631) = 1

GCD of 30, 813, 600, 631 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 58, 227, 685, 299
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• GCD of 11, 248, 173, 932
• GCD of 86, 249, 244, 628
• GCD of 19, 674, 185, 833

1. What is the GCD of 30, 813, 600, 631?

GCD of 30, 813, 600, 631 is 1

2. Where do I get the detailed procedure to find GCD of 30, 813, 600, 631?

You can find a detailed procedure to find GCD of 30, 813, 600, 631 on our page.

3. How to find GCD of 30, 813, 600, 631 on a calculator?

You can find the GCD of 30, 813, 600, 631 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.