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 181, 460, 212, 231 i.e. 1 largest integer that divides all the numbers equally.
GCD of 181, 460, 212, 231 is 1
GCD(181, 460, 212, 231) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 181, 460, 212, 231 is 1
GCD(181, 460, 212, 231) = 1
Given Input numbers are 181, 460, 212, 231
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 181
List of positive integer divisors of 181 that divides 181 without a remainder.
1, 181
Divisors of 460
List of positive integer divisors of 460 that divides 460 without a remainder.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
Divisors of 212
List of positive integer divisors of 212 that divides 212 without a remainder.
1, 2, 4, 53, 106, 212
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 181, 460, 212, 231 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 181, 460, 212, 231 is 1.
Therefore, GCD of numbers 181, 460, 212, 231 is 1
Given Input Data is 181, 460, 212, 231
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 181 is 181
Prime Factorization of 460 is 2 x 2 x 5 x 23
Prime Factorization of 212 is 2 x 2 x 53
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(181, 460) = 83260
GCD(181, 460) = ( 181 x 460 ) / 83260
GCD(181, 460) = 83260 / 83260
GCD(181, 460) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 212
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 212) = 212
GCD(1, 212) = ( 1 x 212 ) / 212
GCD(1, 212) = 212 / 212
GCD(1, 212) = 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 181, 460, 212, 231 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 181, 460, 212, 231?
GCD of 181, 460, 212, 231 is 1
2. Where do I get the detailed procedure to find GCD of 181, 460, 212, 231?
You can find a detailed procedure to find GCD of 181, 460, 212, 231 on our page.
3. How to find GCD of 181, 460, 212, 231 on a calculator?
You can find the GCD of 181, 460, 212, 231 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.