GCD of 696, 999, 638, 808 Calculator

Given Input numbers are 696, 999, 638, 808

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

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 999

List of positive integer divisors of 999 that divides 999 without a remainder.

1, 3, 9, 27, 37, 111, 333, 999

Divisors of 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 808

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

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

Greatest Common Divisior

We found the divisors of 696, 999, 638, 808 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 696, 999, 638, 808 is 1.

Therefore, GCD of numbers 696, 999, 638, 808 is 1

Given Input Data is 696, 999, 638, 808

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

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

Prime Factorization of 999 is 3 x 3 x 3 x 37

Prime Factorization of 638 is 2 x 11 x 29

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

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(696, 999) = 231768

GCD(696, 999) = ( 696 x 999 ) / 231768

GCD(696, 999) = 695304 / 231768

GCD(696, 999) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 638

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

LCM(3, 638) = 1914

GCD(3, 638) = ( 3 x 638 ) / 1914

GCD(3, 638) = 1914 / 1914

GCD(3, 638) = 1

Step3:

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

GCD of 696, 999, 638, 808 is 1

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1. What is the GCD of 696, 999, 638, 808?

GCD of 696, 999, 638, 808 is 1

2. Where do I get the detailed procedure to find GCD of 696, 999, 638, 808?

You can find a detailed procedure to find GCD of 696, 999, 638, 808 on our page.

3. How to find GCD of 696, 999, 638, 808 on a calculator?

You can find the GCD of 696, 999, 638, 808 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.