GCD of 864, 819, 404, 581 Calculator

Given Input numbers are 864, 819, 404, 581

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

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 819

List of positive integer divisors of 819 that divides 819 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Divisors of 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Divisors of 581

List of positive integer divisors of 581 that divides 581 without a remainder.

1, 7, 83, 581

Greatest Common Divisior

We found the divisors of 864, 819, 404, 581 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 864, 819, 404, 581 is 1.

Therefore, GCD of numbers 864, 819, 404, 581 is 1

Given Input Data is 864, 819, 404, 581

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

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 819 is 3 x 3 x 7 x 13

Prime Factorization of 404 is 2 x 2 x 101

Prime Factorization of 581 is 7 x 83

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(864, 819) = 78624

GCD(864, 819) = ( 864 x 819 ) / 78624

GCD(864, 819) = 707616 / 78624

GCD(864, 819) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 404

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

LCM(9, 404) = 3636

GCD(9, 404) = ( 9 x 404 ) / 3636

GCD(9, 404) = 3636 / 3636

GCD(9, 404) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 581

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

LCM(1, 581) = 581

GCD(1, 581) = ( 1 x 581 ) / 581

GCD(1, 581) = 581 / 581

GCD(1, 581) = 1

GCD of 864, 819, 404, 581 is 1

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1. What is the GCD of 864, 819, 404, 581?

GCD of 864, 819, 404, 581 is 1

2. Where do I get the detailed procedure to find GCD of 864, 819, 404, 581?

You can find a detailed procedure to find GCD of 864, 819, 404, 581 on our page.

3. How to find GCD of 864, 819, 404, 581 on a calculator?

You can find the GCD of 864, 819, 404, 581 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.