GCD of 808, 920, 826 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 808, 920, 826 i.e. 2 largest integer that divides all the numbers equally.

GCD of 808, 920, 826 is 2

GCD(808, 920, 826) = 2

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

GCD of

GCD of numbers 808, 920, 826 is 2

GCD(808, 920, 826) = 2

GCD of 808,920,826 Calculator

GCDof 808,920,826 is 2

Given Input numbers are 808, 920, 826

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

Divisors of 808

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

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

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 826

List of positive integer divisors of 826 that divides 826 without a remainder.

1, 2, 7, 14, 59, 118, 413, 826

Greatest Common Divisior

We found the divisors of 808, 920, 826 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 808, 920, 826 is 2.

Therefore, GCD of numbers 808, 920, 826 is 2

Finding GCD of 808, 920, 826 using Prime Factorization

Given Input Data is 808, 920, 826

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

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

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 826 is 2 x 7 x 59

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 808, 920, 826 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(808, 920) = 92920

GCD(808, 920) = ( 808 x 920 ) / 92920

GCD(808, 920) = 743360 / 92920

GCD(808, 920) = 8


Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 826

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

LCM(8, 826) = 3304

GCD(8, 826) = ( 8 x 826 ) / 3304

GCD(8, 826) = 6608 / 3304

GCD(8, 826) = 2

GCD of 808, 920, 826 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 808, 920, 826

1. What is the GCD of 808, 920, 826?

GCD of 808, 920, 826 is 2


2. Where do I get the detailed procedure to find GCD of 808, 920, 826?

You can find a detailed procedure to find GCD of 808, 920, 826 on our page.


3. How to find GCD of 808, 920, 826 on a calculator?

You can find the GCD of 808, 920, 826 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.