GCD of 804, 868, 459, 320 Calculator

Given Input numbers are 804, 868, 459, 320

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

Divisors of 804

List of positive integer divisors of 804 that divides 804 without a remainder.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Divisors of 868

List of positive integer divisors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Greatest Common Divisior

We found the divisors of 804, 868, 459, 320 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 804, 868, 459, 320 is 1.

Therefore, GCD of numbers 804, 868, 459, 320 is 1

Given Input Data is 804, 868, 459, 320

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

Prime Factorization of 804 is 2 x 2 x 3 x 67

Prime Factorization of 868 is 2 x 2 x 7 x 31

Prime Factorization of 459 is 3 x 3 x 3 x 17

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

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(804, 868) = 174468

GCD(804, 868) = ( 804 x 868 ) / 174468

GCD(804, 868) = 697872 / 174468

GCD(804, 868) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 459

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

LCM(4, 459) = 1836

GCD(4, 459) = ( 4 x 459 ) / 1836

GCD(4, 459) = 1836 / 1836

GCD(4, 459) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 320

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

LCM(1, 320) = 320

GCD(1, 320) = ( 1 x 320 ) / 320

GCD(1, 320) = 320 / 320

GCD(1, 320) = 1

GCD of 804, 868, 459, 320 is 1

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1. What is the GCD of 804, 868, 459, 320?

GCD of 804, 868, 459, 320 is 1

2. Where do I get the detailed procedure to find GCD of 804, 868, 459, 320?

You can find a detailed procedure to find GCD of 804, 868, 459, 320 on our page.

3. How to find GCD of 804, 868, 459, 320 on a calculator?

You can find the GCD of 804, 868, 459, 320 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.