GCD of 52, 574, 309, 903 Calculator

Given Input numbers are 52, 574, 309, 903

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

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 309

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

1, 3, 103, 309

Divisors of 903

List of positive integer divisors of 903 that divides 903 without a remainder.

1, 3, 7, 21, 43, 129, 301, 903

Greatest Common Divisior

We found the divisors of 52, 574, 309, 903 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 52, 574, 309, 903 is 1.

Therefore, GCD of numbers 52, 574, 309, 903 is 1

Given Input Data is 52, 574, 309, 903

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

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 574 is 2 x 7 x 41

Prime Factorization of 309 is 3 x 103

Prime Factorization of 903 is 3 x 7 x 43

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(52, 574) = 14924

GCD(52, 574) = ( 52 x 574 ) / 14924

GCD(52, 574) = 29848 / 14924

GCD(52, 574) = 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 903

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

LCM(1, 903) = 903

GCD(1, 903) = ( 1 x 903 ) / 903

GCD(1, 903) = 903 / 903

GCD(1, 903) = 1

GCD of 52, 574, 309, 903 is 1

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• GCD of 60, 417, 786, 415
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1. What is the GCD of 52, 574, 309, 903?

GCD of 52, 574, 309, 903 is 1

2. Where do I get the detailed procedure to find GCD of 52, 574, 309, 903?

You can find a detailed procedure to find GCD of 52, 574, 309, 903 on our page.

3. How to find GCD of 52, 574, 309, 903 on a calculator?

You can find the GCD of 52, 574, 309, 903 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.