GCD of 508, 363, 884, 582 Calculator

Given Input numbers are 508, 363, 884, 582

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

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Divisors of 884

List of positive integer divisors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Divisors of 582

List of positive integer divisors of 582 that divides 582 without a remainder.

1, 2, 3, 6, 97, 194, 291, 582

Greatest Common Divisior

We found the divisors of 508, 363, 884, 582 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 508, 363, 884, 582 is 1.

Therefore, GCD of numbers 508, 363, 884, 582 is 1

Given Input Data is 508, 363, 884, 582

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

Prime Factorization of 508 is 2 x 2 x 127

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 884 is 2 x 2 x 13 x 17

Prime Factorization of 582 is 2 x 3 x 97

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(508, 363) = 184404

GCD(508, 363) = ( 508 x 363 ) / 184404

GCD(508, 363) = 184404 / 184404

GCD(508, 363) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 884

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

LCM(1, 884) = 884

GCD(1, 884) = ( 1 x 884 ) / 884

GCD(1, 884) = 884 / 884

GCD(1, 884) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 582

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

LCM(1, 582) = 582

GCD(1, 582) = ( 1 x 582 ) / 582

GCD(1, 582) = 582 / 582

GCD(1, 582) = 1

GCD of 508, 363, 884, 582 is 1

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1. What is the GCD of 508, 363, 884, 582?

GCD of 508, 363, 884, 582 is 1

2. Where do I get the detailed procedure to find GCD of 508, 363, 884, 582?

You can find a detailed procedure to find GCD of 508, 363, 884, 582 on our page.

3. How to find GCD of 508, 363, 884, 582 on a calculator?

You can find the GCD of 508, 363, 884, 582 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.