GCD of 508, 403, 812, 284 Calculator

Given Input numbers are 508, 403, 812, 284

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 403

List of positive integer divisors of 403 that divides 403 without a remainder.

1, 13, 31, 403

Divisors of 812

List of positive integer divisors of 812 that divides 812 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Greatest Common Divisior

We found the divisors of 508, 403, 812, 284 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 508, 403, 812, 284 is 1.

Therefore, GCD of numbers 508, 403, 812, 284 is 1

Given Input Data is 508, 403, 812, 284

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 403 is 13 x 31

Prime Factorization of 812 is 2 x 2 x 7 x 29

Prime Factorization of 284 is 2 x 2 x 71

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, 403) = 204724

GCD(508, 403) = ( 508 x 403 ) / 204724

GCD(508, 403) = 204724 / 204724

GCD(508, 403) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 812

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

LCM(1, 812) = 812

GCD(1, 812) = ( 1 x 812 ) / 812

GCD(1, 812) = 812 / 812

GCD(1, 812) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 284

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

LCM(1, 284) = 284

GCD(1, 284) = ( 1 x 284 ) / 284

GCD(1, 284) = 284 / 284

GCD(1, 284) = 1

GCD of 508, 403, 812, 284 is 1

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1. What is the GCD of 508, 403, 812, 284?

GCD of 508, 403, 812, 284 is 1

2. Where do I get the detailed procedure to find GCD of 508, 403, 812, 284?

You can find a detailed procedure to find GCD of 508, 403, 812, 284 on our page.

3. How to find GCD of 508, 403, 812, 284 on a calculator?

You can find the GCD of 508, 403, 812, 284 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.