GCD of 502, 242, 371, 594 Calculator

Given Input numbers are 502, 242, 371, 594

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

Divisors of 502

List of positive integer divisors of 502 that divides 502 without a remainder.

1, 2, 251, 502

Divisors of 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Divisors of 371

List of positive integer divisors of 371 that divides 371 without a remainder.

1, 7, 53, 371

Divisors of 594

List of positive integer divisors of 594 that divides 594 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

Greatest Common Divisior

We found the divisors of 502, 242, 371, 594 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 502, 242, 371, 594 is 1.

Therefore, GCD of numbers 502, 242, 371, 594 is 1

Given Input Data is 502, 242, 371, 594

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

Prime Factorization of 502 is 2 x 251

Prime Factorization of 242 is 2 x 11 x 11

Prime Factorization of 371 is 7 x 53

Prime Factorization of 594 is 2 x 3 x 3 x 3 x 11

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(502, 242) = 60742

GCD(502, 242) = ( 502 x 242 ) / 60742

GCD(502, 242) = 121484 / 60742

GCD(502, 242) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 371

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

LCM(2, 371) = 742

GCD(2, 371) = ( 2 x 371 ) / 742

GCD(2, 371) = 742 / 742

GCD(2, 371) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 594

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

LCM(1, 594) = 594

GCD(1, 594) = ( 1 x 594 ) / 594

GCD(1, 594) = 594 / 594

GCD(1, 594) = 1

GCD of 502, 242, 371, 594 is 1

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1. What is the GCD of 502, 242, 371, 594?

GCD of 502, 242, 371, 594 is 1

2. Where do I get the detailed procedure to find GCD of 502, 242, 371, 594?

You can find a detailed procedure to find GCD of 502, 242, 371, 594 on our page.

3. How to find GCD of 502, 242, 371, 594 on a calculator?

You can find the GCD of 502, 242, 371, 594 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.