GCD of 585, 188, 808, 284 Calculator

Given Input numbers are 585, 188, 808, 284

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

Divisors of 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 188

List of positive integer divisors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Divisors of 808

List of positive integer divisors of 808 that divides 808 without a remainder.

1, 2, 4, 8, 101, 202, 404, 808

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 585, 188, 808, 284 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 585, 188, 808, 284 is 1.

Therefore, GCD of numbers 585, 188, 808, 284 is 1

Given Input Data is 585, 188, 808, 284

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

Prime Factorization of 585 is 3 x 3 x 5 x 13

Prime Factorization of 188 is 2 x 2 x 47

Prime Factorization of 808 is 2 x 2 x 2 x 101

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(585, 188) = 109980

GCD(585, 188) = ( 585 x 188 ) / 109980

GCD(585, 188) = 109980 / 109980

GCD(585, 188) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 808

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

LCM(1, 808) = 808

GCD(1, 808) = ( 1 x 808 ) / 808

GCD(1, 808) = 808 / 808

GCD(1, 808) = 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 585, 188, 808, 284 is 1

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1. What is the GCD of 585, 188, 808, 284?

GCD of 585, 188, 808, 284 is 1

2. Where do I get the detailed procedure to find GCD of 585, 188, 808, 284?

You can find a detailed procedure to find GCD of 585, 188, 808, 284 on our page.

3. How to find GCD of 585, 188, 808, 284 on a calculator?

You can find the GCD of 585, 188, 808, 284 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.