GCD of 804, 328, 26, 656 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 804, 328, 26, 656 i.e. 2 largest integer that divides all the numbers equally.

GCD of 804, 328, 26, 656 is 2

GCD(804, 328, 26, 656) = 2

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 804, 328, 26, 656 is 2

GCD(804, 328, 26, 656) = 2

GCD of 804,328,26,656 Calculator

GCDof 804,328,26,656 is 2

Given Input numbers are 804, 328, 26, 656

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 328

List of positive integer divisors of 328 that divides 328 without a remainder.

1, 2, 4, 8, 41, 82, 164, 328

Divisors of 26

List of positive integer divisors of 26 that divides 26 without a remainder.

1, 2, 13, 26

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Greatest Common Divisior

We found the divisors of 804, 328, 26, 656 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 804, 328, 26, 656 is 2.

Therefore, GCD of numbers 804, 328, 26, 656 is 2

Finding GCD of 804, 328, 26, 656 using Prime Factorization

Given Input Data is 804, 328, 26, 656

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 328 is 2 x 2 x 2 x 41

Prime Factorization of 26 is 2 x 13

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 804, 328, 26, 656 using LCM Formula

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, 328) = 65928

GCD(804, 328) = ( 804 x 328 ) / 65928

GCD(804, 328) = 263712 / 65928

GCD(804, 328) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 26

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

LCM(4, 26) = 52

GCD(4, 26) = ( 4 x 26 ) / 52

GCD(4, 26) = 104 / 52

GCD(4, 26) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 656

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

LCM(2, 656) = 656

GCD(2, 656) = ( 2 x 656 ) / 656

GCD(2, 656) = 1312 / 656

GCD(2, 656) = 2

GCD of 804, 328, 26, 656 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 804, 328, 26, 656

1. What is the GCD of 804, 328, 26, 656?

GCD of 804, 328, 26, 656 is 2


2. Where do I get the detailed procedure to find GCD of 804, 328, 26, 656?

You can find a detailed procedure to find GCD of 804, 328, 26, 656 on our page.


3. How to find GCD of 804, 328, 26, 656 on a calculator?

You can find the GCD of 804, 328, 26, 656 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.