GCD of 530, 228, 309, 313 Calculator

Given Input numbers are 530, 228, 309, 313

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

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 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

Divisors of 309

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

1, 3, 103, 309

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Greatest Common Divisior

We found the divisors of 530, 228, 309, 313 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 530, 228, 309, 313 is 1.

Therefore, GCD of numbers 530, 228, 309, 313 is 1

Given Input Data is 530, 228, 309, 313

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

Prime Factorization of 530 is 2 x 5 x 53

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

Prime Factorization of 309 is 3 x 103

Prime Factorization of 313 is 313

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(530, 228) = 60420

GCD(530, 228) = ( 530 x 228 ) / 60420

GCD(530, 228) = 120840 / 60420

GCD(530, 228) = 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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 313

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

LCM(1, 313) = 313

GCD(1, 313) = ( 1 x 313 ) / 313

GCD(1, 313) = 313 / 313

GCD(1, 313) = 1

GCD of 530, 228, 309, 313 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 643, 278, 155, 816
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• GCD of 531, 527, 627, 255

1. What is the GCD of 530, 228, 309, 313?

GCD of 530, 228, 309, 313 is 1

2. Where do I get the detailed procedure to find GCD of 530, 228, 309, 313?

You can find a detailed procedure to find GCD of 530, 228, 309, 313 on our page.

3. How to find GCD of 530, 228, 309, 313 on a calculator?

You can find the GCD of 530, 228, 309, 313 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.