GCD of 849, 837, 22 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 849, 837, 22 i.e. 1 largest integer that divides all the numbers equally.

GCD of 849, 837, 22 is 1

GCD(849, 837, 22) = 1

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

GCD of

GCD of numbers 849, 837, 22 is 1

GCD(849, 837, 22) = 1

GCD of 849,837,22 Calculator

GCDof 849,837,22 is 1

Given Input numbers are 849, 837, 22

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

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Divisors of 837

List of positive integer divisors of 837 that divides 837 without a remainder.

1, 3, 9, 27, 31, 93, 279, 837

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Greatest Common Divisior

We found the divisors of 849, 837, 22 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 849, 837, 22 is 1.

Therefore, GCD of numbers 849, 837, 22 is 1

Finding GCD of 849, 837, 22 using Prime Factorization

Given Input Data is 849, 837, 22

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

Prime Factorization of 849 is 3 x 283

Prime Factorization of 837 is 3 x 3 x 3 x 31

Prime Factorization of 22 is 2 x 11

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 849, 837, 22 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(849, 837) = 236871

GCD(849, 837) = ( 849 x 837 ) / 236871

GCD(849, 837) = 710613 / 236871

GCD(849, 837) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 22

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

LCM(3, 22) = 66

GCD(3, 22) = ( 3 x 22 ) / 66

GCD(3, 22) = 66 / 66

GCD(3, 22) = 1

GCD of 849, 837, 22 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 849, 837, 22

1. What is the GCD of 849, 837, 22?

GCD of 849, 837, 22 is 1


2. Where do I get the detailed procedure to find GCD of 849, 837, 22?

You can find a detailed procedure to find GCD of 849, 837, 22 on our page.


3. How to find GCD of 849, 837, 22 on a calculator?

You can find the GCD of 849, 837, 22 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.