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 numbers 243, 291, 334, 214 is 1
GCD(243, 291, 334, 214) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.