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 819, 129, 32, 125 i.e. 1 largest integer that divides all the numbers equally.
GCD of 819, 129, 32, 125 is 1
GCD(819, 129, 32, 125) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 819, 129, 32, 125 is 1
GCD(819, 129, 32, 125) = 1
Given Input numbers are 819, 129, 32, 125
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 819
List of positive integer divisors of 819 that divides 819 without a remainder.
1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
Divisors of 129
List of positive integer divisors of 129 that divides 129 without a remainder.
1, 3, 43, 129
Divisors of 32
List of positive integer divisors of 32 that divides 32 without a remainder.
1, 2, 4, 8, 16, 32
Divisors of 125
List of positive integer divisors of 125 that divides 125 without a remainder.
1, 5, 25, 125
Greatest Common Divisior
We found the divisors of 819, 129, 32, 125 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 819, 129, 32, 125 is 1.
Therefore, GCD of numbers 819, 129, 32, 125 is 1
Given Input Data is 819, 129, 32, 125
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 819 is 3 x 3 x 7 x 13
Prime Factorization of 129 is 3 x 43
Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2
Prime Factorization of 125 is 5 x 5 x 5
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(819, 129) = 35217
GCD(819, 129) = ( 819 x 129 ) / 35217
GCD(819, 129) = 105651 / 35217
GCD(819, 129) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 32
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 32) = 96
GCD(3, 32) = ( 3 x 32 ) / 96
GCD(3, 32) = 96 / 96
GCD(3, 32) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 125
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 125) = 125
GCD(1, 125) = ( 1 x 125 ) / 125
GCD(1, 125) = 125 / 125
GCD(1, 125) = 1
GCD of 819, 129, 32, 125 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 819, 129, 32, 125?
GCD of 819, 129, 32, 125 is 1
2. Where do I get the detailed procedure to find GCD of 819, 129, 32, 125?
You can find a detailed procedure to find GCD of 819, 129, 32, 125 on our page.
3. How to find GCD of 819, 129, 32, 125 on a calculator?
You can find the GCD of 819, 129, 32, 125 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.