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 323, 241, 68 i.e. 1 largest integer that divides all the numbers equally.
GCD of 323, 241, 68 is 1
GCD(323, 241, 68) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 323, 241, 68 is 1
GCD(323, 241, 68) = 1
Given Input numbers are 323, 241, 68
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 323
List of positive integer divisors of 323 that divides 323 without a remainder.
1, 17, 19, 323
Divisors of 241
List of positive integer divisors of 241 that divides 241 without a remainder.
1, 241
Divisors of 68
List of positive integer divisors of 68 that divides 68 without a remainder.
1, 2, 4, 17, 34, 68
Greatest Common Divisior
We found the divisors of 323, 241, 68 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 323, 241, 68 is 1.
Therefore, GCD of numbers 323, 241, 68 is 1
Given Input Data is 323, 241, 68
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 323 is 17 x 19
Prime Factorization of 241 is 241
Prime Factorization of 68 is 2 x 2 x 17
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(323, 241) = 77843
GCD(323, 241) = ( 323 x 241 ) / 77843
GCD(323, 241) = 77843 / 77843
GCD(323, 241) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 68
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 68) = 68
GCD(1, 68) = ( 1 x 68 ) / 68
GCD(1, 68) = 68 / 68
GCD(1, 68) = 1
GCD of 323, 241, 68 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 323, 241, 68?
GCD of 323, 241, 68 is 1
2. Where do I get the detailed procedure to find GCD of 323, 241, 68?
You can find a detailed procedure to find GCD of 323, 241, 68 on our page.
3. How to find GCD of 323, 241, 68 on a calculator?
You can find the GCD of 323, 241, 68 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.