GCD of 836, 822, 896, 918 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 836, 822, 896, 918 i.e. 2 largest integer that divides all the numbers equally.

GCD of 836, 822, 896, 918 is 2

GCD(836, 822, 896, 918) = 2

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

GCD of

GCD of numbers 836, 822, 896, 918 is 2

GCD(836, 822, 896, 918) = 2

GCD of 836,822,896,918 Calculator

GCDof 836,822,896,918 is 2

Given Input numbers are 836, 822, 896, 918

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

Divisors of 836

List of positive integer divisors of 836 that divides 836 without a remainder.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

Divisors of 822

List of positive integer divisors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 896

List of positive integer divisors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Greatest Common Divisior

We found the divisors of 836, 822, 896, 918 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 836, 822, 896, 918 is 2.

Therefore, GCD of numbers 836, 822, 896, 918 is 2

Finding GCD of 836, 822, 896, 918 using Prime Factorization

Given Input Data is 836, 822, 896, 918

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

Prime Factorization of 836 is 2 x 2 x 11 x 19

Prime Factorization of 822 is 2 x 3 x 137

Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 836, 822, 896, 918 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(836, 822) = 343596

GCD(836, 822) = ( 836 x 822 ) / 343596

GCD(836, 822) = 687192 / 343596

GCD(836, 822) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 896

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

LCM(2, 896) = 896

GCD(2, 896) = ( 2 x 896 ) / 896

GCD(2, 896) = 1792 / 896

GCD(2, 896) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 918

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

LCM(2, 918) = 918

GCD(2, 918) = ( 2 x 918 ) / 918

GCD(2, 918) = 1836 / 918

GCD(2, 918) = 2

GCD of 836, 822, 896, 918 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 836, 822, 896, 918

1. What is the GCD of 836, 822, 896, 918?

GCD of 836, 822, 896, 918 is 2


2. Where do I get the detailed procedure to find GCD of 836, 822, 896, 918?

You can find a detailed procedure to find GCD of 836, 822, 896, 918 on our page.


3. How to find GCD of 836, 822, 896, 918 on a calculator?

You can find the GCD of 836, 822, 896, 918 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.