GCD of 634, 902, 309 Calculator

Given Input numbers are 634, 902, 309

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

Divisors of 634

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

1, 2, 317, 634

Divisors of 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Greatest Common Divisior

We found the divisors of 634, 902, 309 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 634, 902, 309 is 1.

Therefore, GCD of numbers 634, 902, 309 is 1

Given Input Data is 634, 902, 309

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

Prime Factorization of 634 is 2 x 317

Prime Factorization of 902 is 2 x 11 x 41

Prime Factorization of 309 is 3 x 103

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(634, 902) = 285934

GCD(634, 902) = ( 634 x 902 ) / 285934

GCD(634, 902) = 571868 / 285934

GCD(634, 902) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 309

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

LCM(2, 309) = 618

GCD(2, 309) = ( 2 x 309 ) / 618

GCD(2, 309) = 618 / 618

GCD(2, 309) = 1

GCD of 634, 902, 309 is 1

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1. What is the GCD of 634, 902, 309?

GCD of 634, 902, 309 is 1

2. Where do I get the detailed procedure to find GCD of 634, 902, 309?

You can find a detailed procedure to find GCD of 634, 902, 309 on our page.

3. How to find GCD of 634, 902, 309 on a calculator?

You can find the GCD of 634, 902, 309 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.