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 675, 226, 393, 231 i.e. 1 largest integer that divides all the numbers equally.
GCD of 675, 226, 393, 231 is 1
GCD(675, 226, 393, 231) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 675, 226, 393, 231 is 1
GCD(675, 226, 393, 231) = 1
Given Input numbers are 675, 226, 393, 231
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 675
List of positive integer divisors of 675 that divides 675 without a remainder.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
Divisors of 226
List of positive integer divisors of 226 that divides 226 without a remainder.
1, 2, 113, 226
Divisors of 393
List of positive integer divisors of 393 that divides 393 without a remainder.
1, 3, 131, 393
Divisors of 231
List of positive integer divisors of 231 that divides 231 without a remainder.
1, 3, 7, 11, 21, 33, 77, 231
Greatest Common Divisior
We found the divisors of 675, 226, 393, 231 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 675, 226, 393, 231 is 1.
Therefore, GCD of numbers 675, 226, 393, 231 is 1
Given Input Data is 675, 226, 393, 231
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5
Prime Factorization of 226 is 2 x 113
Prime Factorization of 393 is 3 x 131
Prime Factorization of 231 is 3 x 7 x 11
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(675, 226) = 152550
GCD(675, 226) = ( 675 x 226 ) / 152550
GCD(675, 226) = 152550 / 152550
GCD(675, 226) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 393
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 393) = 393
GCD(1, 393) = ( 1 x 393 ) / 393
GCD(1, 393) = 393 / 393
GCD(1, 393) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 231
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 231) = 231
GCD(1, 231) = ( 1 x 231 ) / 231
GCD(1, 231) = 231 / 231
GCD(1, 231) = 1
GCD of 675, 226, 393, 231 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 675, 226, 393, 231?
GCD of 675, 226, 393, 231 is 1
2. Where do I get the detailed procedure to find GCD of 675, 226, 393, 231?
You can find a detailed procedure to find GCD of 675, 226, 393, 231 on our page.
3. How to find GCD of 675, 226, 393, 231 on a calculator?
You can find the GCD of 675, 226, 393, 231 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.