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 231, 843, 68, 301 i.e. 1 largest integer that divides all the numbers equally.
GCD of 231, 843, 68, 301 is 1
GCD(231, 843, 68, 301) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 231, 843, 68, 301 is 1
GCD(231, 843, 68, 301) = 1
Given Input numbers are 231, 843, 68, 301
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 231
List of positive integer divisors of 231 that divides 231 without a remainder.
1, 3, 7, 11, 21, 33, 77, 231
Divisors of 843
List of positive integer divisors of 843 that divides 843 without a remainder.
1, 3, 281, 843
Divisors of 68
List of positive integer divisors of 68 that divides 68 without a remainder.
1, 2, 4, 17, 34, 68
Divisors of 301
List of positive integer divisors of 301 that divides 301 without a remainder.
1, 7, 43, 301
Greatest Common Divisior
We found the divisors of 231, 843, 68, 301 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 231, 843, 68, 301 is 1.
Therefore, GCD of numbers 231, 843, 68, 301 is 1
Given Input Data is 231, 843, 68, 301
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 231 is 3 x 7 x 11
Prime Factorization of 843 is 3 x 281
Prime Factorization of 68 is 2 x 2 x 17
Prime Factorization of 301 is 7 x 43
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(231, 843) = 64911
GCD(231, 843) = ( 231 x 843 ) / 64911
GCD(231, 843) = 194733 / 64911
GCD(231, 843) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 68
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 68) = 204
GCD(3, 68) = ( 3 x 68 ) / 204
GCD(3, 68) = 204 / 204
GCD(3, 68) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 301
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 301) = 301
GCD(1, 301) = ( 1 x 301 ) / 301
GCD(1, 301) = 301 / 301
GCD(1, 301) = 1
GCD of 231, 843, 68, 301 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 231, 843, 68, 301?
GCD of 231, 843, 68, 301 is 1
2. Where do I get the detailed procedure to find GCD of 231, 843, 68, 301?
You can find a detailed procedure to find GCD of 231, 843, 68, 301 on our page.
3. How to find GCD of 231, 843, 68, 301 on a calculator?
You can find the GCD of 231, 843, 68, 301 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.