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 18, 183, 251, 129 i.e. 1 largest integer that divides all the numbers equally.
GCD of 18, 183, 251, 129 is 1
GCD(18, 183, 251, 129) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 18, 183, 251, 129 is 1
GCD(18, 183, 251, 129) = 1
Given Input numbers are 18, 183, 251, 129
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 18
List of positive integer divisors of 18 that divides 18 without a remainder.
1, 2, 3, 6, 9, 18
Divisors of 183
List of positive integer divisors of 183 that divides 183 without a remainder.
1, 3, 61, 183
Divisors of 251
List of positive integer divisors of 251 that divides 251 without a remainder.
1, 251
Divisors of 129
List of positive integer divisors of 129 that divides 129 without a remainder.
1, 3, 43, 129
Greatest Common Divisior
We found the divisors of 18, 183, 251, 129 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 18, 183, 251, 129 is 1.
Therefore, GCD of numbers 18, 183, 251, 129 is 1
Given Input Data is 18, 183, 251, 129
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 18 is 2 x 3 x 3
Prime Factorization of 183 is 3 x 61
Prime Factorization of 251 is 251
Prime Factorization of 129 is 3 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(18, 183) = 1098
GCD(18, 183) = ( 18 x 183 ) / 1098
GCD(18, 183) = 3294 / 1098
GCD(18, 183) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 251
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 251) = 753
GCD(3, 251) = ( 3 x 251 ) / 753
GCD(3, 251) = 753 / 753
GCD(3, 251) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 129
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 129) = 129
GCD(1, 129) = ( 1 x 129 ) / 129
GCD(1, 129) = 129 / 129
GCD(1, 129) = 1
GCD of 18, 183, 251, 129 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 18, 183, 251, 129?
GCD of 18, 183, 251, 129 is 1
2. Where do I get the detailed procedure to find GCD of 18, 183, 251, 129?
You can find a detailed procedure to find GCD of 18, 183, 251, 129 on our page.
3. How to find GCD of 18, 183, 251, 129 on a calculator?
You can find the GCD of 18, 183, 251, 129 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.