GCD of 809, 488, 21, 422 Calculator

Given Input numbers are 809, 488, 21, 422

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

Divisors of 809

List of positive integer divisors of 809 that divides 809 without a remainder.

1, 809

Divisors of 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Greatest Common Divisior

We found the divisors of 809, 488, 21, 422 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 809, 488, 21, 422 is 1.

Therefore, GCD of numbers 809, 488, 21, 422 is 1

Given Input Data is 809, 488, 21, 422

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

Prime Factorization of 809 is 809

Prime Factorization of 488 is 2 x 2 x 2 x 61

Prime Factorization of 21 is 3 x 7

Prime Factorization of 422 is 2 x 211

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(809, 488) = 394792

GCD(809, 488) = ( 809 x 488 ) / 394792

GCD(809, 488) = 394792 / 394792

GCD(809, 488) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 422

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

LCM(1, 422) = 422

GCD(1, 422) = ( 1 x 422 ) / 422

GCD(1, 422) = 422 / 422

GCD(1, 422) = 1

GCD of 809, 488, 21, 422 is 1

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1. What is the GCD of 809, 488, 21, 422?

GCD of 809, 488, 21, 422 is 1

2. Where do I get the detailed procedure to find GCD of 809, 488, 21, 422?

You can find a detailed procedure to find GCD of 809, 488, 21, 422 on our page.

3. How to find GCD of 809, 488, 21, 422 on a calculator?

You can find the GCD of 809, 488, 21, 422 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.