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 129, 232, 27, 213 i.e. 1 largest integer that divides all the numbers equally.
GCD of 129, 232, 27, 213 is 1
GCD(129, 232, 27, 213) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 129, 232, 27, 213 is 1
GCD(129, 232, 27, 213) = 1
Given Input numbers are 129, 232, 27, 213
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 129
List of positive integer divisors of 129 that divides 129 without a remainder.
1, 3, 43, 129
Divisors of 232
List of positive integer divisors of 232 that divides 232 without a remainder.
1, 2, 4, 8, 29, 58, 116, 232
Divisors of 27
List of positive integer divisors of 27 that divides 27 without a remainder.
1, 3, 9, 27
Divisors of 213
List of positive integer divisors of 213 that divides 213 without a remainder.
1, 3, 71, 213
Greatest Common Divisior
We found the divisors of 129, 232, 27, 213 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 129, 232, 27, 213 is 1.
Therefore, GCD of numbers 129, 232, 27, 213 is 1
Given Input Data is 129, 232, 27, 213
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 129 is 3 x 43
Prime Factorization of 232 is 2 x 2 x 2 x 29
Prime Factorization of 27 is 3 x 3 x 3
Prime Factorization of 213 is 3 x 71
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(129, 232) = 29928
GCD(129, 232) = ( 129 x 232 ) / 29928
GCD(129, 232) = 29928 / 29928
GCD(129, 232) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 27
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 27) = 27
GCD(1, 27) = ( 1 x 27 ) / 27
GCD(1, 27) = 27 / 27
GCD(1, 27) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 213
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 213) = 213
GCD(1, 213) = ( 1 x 213 ) / 213
GCD(1, 213) = 213 / 213
GCD(1, 213) = 1
GCD of 129, 232, 27, 213 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 129, 232, 27, 213?
GCD of 129, 232, 27, 213 is 1
2. Where do I get the detailed procedure to find GCD of 129, 232, 27, 213?
You can find a detailed procedure to find GCD of 129, 232, 27, 213 on our page.
3. How to find GCD of 129, 232, 27, 213 on a calculator?
You can find the GCD of 129, 232, 27, 213 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.