GCD of 304, 904, 404, 569 Calculator

Given Input numbers are 304, 904, 404, 569

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

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

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 404

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

1, 2, 4, 101, 202, 404

Divisors of 569

List of positive integer divisors of 569 that divides 569 without a remainder.

1, 569

Greatest Common Divisior

We found the divisors of 304, 904, 404, 569 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 304, 904, 404, 569 is 1.

Therefore, GCD of numbers 304, 904, 404, 569 is 1

Given Input Data is 304, 904, 404, 569

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

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

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

Prime Factorization of 404 is 2 x 2 x 101

Prime Factorization of 569 is 569

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(304, 904) = 34352

GCD(304, 904) = ( 304 x 904 ) / 34352

GCD(304, 904) = 274816 / 34352

GCD(304, 904) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 404

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

LCM(8, 404) = 808

GCD(8, 404) = ( 8 x 404 ) / 808

GCD(8, 404) = 3232 / 808

GCD(8, 404) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 569

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

LCM(4, 569) = 2276

GCD(4, 569) = ( 4 x 569 ) / 2276

GCD(4, 569) = 2276 / 2276

GCD(4, 569) = 1

GCD of 304, 904, 404, 569 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 464, 708, 891, 267
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1. What is the GCD of 304, 904, 404, 569?

GCD of 304, 904, 404, 569 is 1

2. Where do I get the detailed procedure to find GCD of 304, 904, 404, 569?

You can find a detailed procedure to find GCD of 304, 904, 404, 569 on our page.

3. How to find GCD of 304, 904, 404, 569 on a calculator?

You can find the GCD of 304, 904, 404, 569 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.