GCD of 634, 530, 902, 228 Calculator

Given Input numbers are 634, 530, 902, 228

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 530

List of positive integer divisors of 530 that divides 530 without a remainder.

1, 2, 5, 10, 53, 106, 265, 530

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 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Greatest Common Divisior

We found the divisors of 634, 530, 902, 228 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 634, 530, 902, 228 is 2.

Therefore, GCD of numbers 634, 530, 902, 228 is 2

Given Input Data is 634, 530, 902, 228

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

Prime Factorization of 634 is 2 x 317

Prime Factorization of 530 is 2 x 5 x 53

Prime Factorization of 902 is 2 x 11 x 41

Prime Factorization of 228 is 2 x 2 x 3 x 19

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 530) = 168010

GCD(634, 530) = ( 634 x 530 ) / 168010

GCD(634, 530) = 336020 / 168010

GCD(634, 530) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 902

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

LCM(2, 902) = 902

GCD(2, 902) = ( 2 x 902 ) / 902

GCD(2, 902) = 1804 / 902

GCD(2, 902) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 228

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

LCM(2, 228) = 228

GCD(2, 228) = ( 2 x 228 ) / 228

GCD(2, 228) = 456 / 228

GCD(2, 228) = 2

GCD of 634, 530, 902, 228 is 2

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1. What is the GCD of 634, 530, 902, 228?

GCD of 634, 530, 902, 228 is 2

2. Where do I get the detailed procedure to find GCD of 634, 530, 902, 228?

You can find a detailed procedure to find GCD of 634, 530, 902, 228 on our page.

3. How to find GCD of 634, 530, 902, 228 on a calculator?

You can find the GCD of 634, 530, 902, 228 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.