GCD of 319, 996, 591, 634 Calculator

Given Input numbers are 319, 996, 591, 634

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

Divisors of 319

List of positive integer divisors of 319 that divides 319 without a remainder.

1, 11, 29, 319

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 591

List of positive integer divisors of 591 that divides 591 without a remainder.

1, 3, 197, 591

Divisors of 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Greatest Common Divisior

We found the divisors of 319, 996, 591, 634 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 319, 996, 591, 634 is 1.

Therefore, GCD of numbers 319, 996, 591, 634 is 1

Given Input Data is 319, 996, 591, 634

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

Prime Factorization of 319 is 11 x 29

Prime Factorization of 996 is 2 x 2 x 3 x 83

Prime Factorization of 591 is 3 x 197

Prime Factorization of 634 is 2 x 317

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(319, 996) = 317724

GCD(319, 996) = ( 319 x 996 ) / 317724

GCD(319, 996) = 317724 / 317724

GCD(319, 996) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 591

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

LCM(1, 591) = 591

GCD(1, 591) = ( 1 x 591 ) / 591

GCD(1, 591) = 591 / 591

GCD(1, 591) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 634

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

LCM(1, 634) = 634

GCD(1, 634) = ( 1 x 634 ) / 634

GCD(1, 634) = 634 / 634

GCD(1, 634) = 1

GCD of 319, 996, 591, 634 is 1

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1. What is the GCD of 319, 996, 591, 634?

GCD of 319, 996, 591, 634 is 1

2. Where do I get the detailed procedure to find GCD of 319, 996, 591, 634?

You can find a detailed procedure to find GCD of 319, 996, 591, 634 on our page.

3. How to find GCD of 319, 996, 591, 634 on a calculator?

You can find the GCD of 319, 996, 591, 634 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.