GCD of 849, 214, 218 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, 214, 218 i.e. 1 largest integer that divides all the numbers equally.

GCD of 849, 214, 218 is 1

GCD(849, 214, 218) = 1

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

GCD of

GCD of numbers 849, 214, 218 is 1

GCD(849, 214, 218) = 1

GCD of 849,214,218 Calculator

GCDof 849,214,218 is 1

Given Input numbers are 849, 214, 218

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 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Greatest Common Divisior

We found the divisors of 849, 214, 218 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 849, 214, 218 is 1.

Therefore, GCD of numbers 849, 214, 218 is 1

Finding GCD of 849, 214, 218 using Prime Factorization

Given Input Data is 849, 214, 218

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

Prime Factorization of 849 is 3 x 283

Prime Factorization of 214 is 2 x 107

Prime Factorization of 218 is 2 x 109

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

Finding GCD of 849, 214, 218 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, 214) = 181686

GCD(849, 214) = ( 849 x 214 ) / 181686

GCD(849, 214) = 181686 / 181686

GCD(849, 214) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 218

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

LCM(1, 218) = 218

GCD(1, 218) = ( 1 x 218 ) / 218

GCD(1, 218) = 218 / 218

GCD(1, 218) = 1

GCD of 849, 214, 218 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 849, 214, 218

1. What is the GCD of 849, 214, 218?

GCD of 849, 214, 218 is 1


2. Where do I get the detailed procedure to find GCD of 849, 214, 218?

You can find a detailed procedure to find GCD of 849, 214, 218 on our page.


3. How to find GCD of 849, 214, 218 on a calculator?

You can find the GCD of 849, 214, 218 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.