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 238, 393, 243, 115 i.e. 1 largest integer that divides all the numbers equally.
GCD of 238, 393, 243, 115 is 1
GCD(238, 393, 243, 115) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 238, 393, 243, 115 is 1
GCD(238, 393, 243, 115) = 1
Given Input numbers are 238, 393, 243, 115
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 238
List of positive integer divisors of 238 that divides 238 without a remainder.
1, 2, 7, 14, 17, 34, 119, 238
Divisors of 393
List of positive integer divisors of 393 that divides 393 without a remainder.
1, 3, 131, 393
Divisors of 243
List of positive integer divisors of 243 that divides 243 without a remainder.
1, 3, 9, 27, 81, 243
Divisors of 115
List of positive integer divisors of 115 that divides 115 without a remainder.
1, 5, 23, 115
Greatest Common Divisior
We found the divisors of 238, 393, 243, 115 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 238, 393, 243, 115 is 1.
Therefore, GCD of numbers 238, 393, 243, 115 is 1
Given Input Data is 238, 393, 243, 115
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 238 is 2 x 7 x 17
Prime Factorization of 393 is 3 x 131
Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3
Prime Factorization of 115 is 5 x 23
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(238, 393) = 93534
GCD(238, 393) = ( 238 x 393 ) / 93534
GCD(238, 393) = 93534 / 93534
GCD(238, 393) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 243
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 243) = 243
GCD(1, 243) = ( 1 x 243 ) / 243
GCD(1, 243) = 243 / 243
GCD(1, 243) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 115
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 115) = 115
GCD(1, 115) = ( 1 x 115 ) / 115
GCD(1, 115) = 115 / 115
GCD(1, 115) = 1
GCD of 238, 393, 243, 115 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 238, 393, 243, 115?
GCD of 238, 393, 243, 115 is 1
2. Where do I get the detailed procedure to find GCD of 238, 393, 243, 115?
You can find a detailed procedure to find GCD of 238, 393, 243, 115 on our page.
3. How to find GCD of 238, 393, 243, 115 on a calculator?
You can find the GCD of 238, 393, 243, 115 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.