GCD of 904, 204, 633, 696 Calculator

Given Input numbers are 904, 204, 633, 696

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

Divisors of 904

List of positive integer divisors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 633

List of positive integer divisors of 633 that divides 633 without a remainder.

1, 3, 211, 633

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

Greatest Common Divisior

We found the divisors of 904, 204, 633, 696 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 904, 204, 633, 696 is 1.

Therefore, GCD of numbers 904, 204, 633, 696 is 1

Given Input Data is 904, 204, 633, 696

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

Prime Factorization of 904 is 2 x 2 x 2 x 113

Prime Factorization of 204 is 2 x 2 x 3 x 17

Prime Factorization of 633 is 3 x 211

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

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(904, 204) = 46104

GCD(904, 204) = ( 904 x 204 ) / 46104

GCD(904, 204) = 184416 / 46104

GCD(904, 204) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 633

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

LCM(4, 633) = 2532

GCD(4, 633) = ( 4 x 633 ) / 2532

GCD(4, 633) = 2532 / 2532

GCD(4, 633) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 696

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

LCM(1, 696) = 696

GCD(1, 696) = ( 1 x 696 ) / 696

GCD(1, 696) = 696 / 696

GCD(1, 696) = 1

GCD of 904, 204, 633, 696 is 1

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1. What is the GCD of 904, 204, 633, 696?

GCD of 904, 204, 633, 696 is 1

2. Where do I get the detailed procedure to find GCD of 904, 204, 633, 696?

You can find a detailed procedure to find GCD of 904, 204, 633, 696 on our page.

3. How to find GCD of 904, 204, 633, 696 on a calculator?

You can find the GCD of 904, 204, 633, 696 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.