GCD of 243, 291, 334, 214 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 243, 291, 334, 214 i.e. 1 largest integer that divides all the numbers equally.

GCD of 243, 291, 334, 214 is 1

GCD(243, 291, 334, 214) = 1

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

GCD of

GCD of numbers 243, 291, 334, 214 is 1

GCD(243, 291, 334, 214) = 1

GCD of 243,291,334,214 Calculator

GCDof 243,291,334,214 is 1

Given Input numbers are 243, 291, 334, 214

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

Divisors of 243

List of positive integer divisors of 243 that divides 243 without a remainder.

1, 3, 9, 27, 81, 243

Divisors of 291

List of positive integer divisors of 291 that divides 291 without a remainder.

1, 3, 97, 291

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Divisors of 214

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

1, 2, 107, 214

Greatest Common Divisior

We found the divisors of 243, 291, 334, 214 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 243, 291, 334, 214 is 1.

Therefore, GCD of numbers 243, 291, 334, 214 is 1

Finding GCD of 243, 291, 334, 214 using Prime Factorization

Given Input Data is 243, 291, 334, 214

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

Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3

Prime Factorization of 291 is 3 x 97

Prime Factorization of 334 is 2 x 167

Prime Factorization of 214 is 2 x 107

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

Finding GCD of 243, 291, 334, 214 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(243, 291) = 23571

GCD(243, 291) = ( 243 x 291 ) / 23571

GCD(243, 291) = 70713 / 23571

GCD(243, 291) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 334

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

LCM(3, 334) = 1002

GCD(3, 334) = ( 3 x 334 ) / 1002

GCD(3, 334) = 1002 / 1002

GCD(3, 334) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 214

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

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

GCD(1, 214) = 214 / 214

GCD(1, 214) = 1

GCD of 243, 291, 334, 214 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 243, 291, 334, 214

1. What is the GCD of 243, 291, 334, 214?

GCD of 243, 291, 334, 214 is 1


2. Where do I get the detailed procedure to find GCD of 243, 291, 334, 214?

You can find a detailed procedure to find GCD of 243, 291, 334, 214 on our page.


3. How to find GCD of 243, 291, 334, 214 on a calculator?

You can find the GCD of 243, 291, 334, 214 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.