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, 771, 84, 113 i.e. 1 largest integer that divides all the numbers equally.
GCD of 129, 771, 84, 113 is 1
GCD(129, 771, 84, 113) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 129, 771, 84, 113 is 1
GCD(129, 771, 84, 113) = 1
Given Input numbers are 129, 771, 84, 113
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 771
List of positive integer divisors of 771 that divides 771 without a remainder.
1, 3, 257, 771
Divisors of 84
List of positive integer divisors of 84 that divides 84 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
Divisors of 113
List of positive integer divisors of 113 that divides 113 without a remainder.
1, 113
Greatest Common Divisior
We found the divisors of 129, 771, 84, 113 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 129, 771, 84, 113 is 1.
Therefore, GCD of numbers 129, 771, 84, 113 is 1
Given Input Data is 129, 771, 84, 113
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 129 is 3 x 43
Prime Factorization of 771 is 3 x 257
Prime Factorization of 84 is 2 x 2 x 3 x 7
Prime Factorization of 113 is 113
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, 771) = 33153
GCD(129, 771) = ( 129 x 771 ) / 33153
GCD(129, 771) = 99459 / 33153
GCD(129, 771) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 84
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 84) = 84
GCD(3, 84) = ( 3 x 84 ) / 84
GCD(3, 84) = 252 / 84
GCD(3, 84) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 113
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 113) = 339
GCD(3, 113) = ( 3 x 113 ) / 339
GCD(3, 113) = 339 / 339
GCD(3, 113) = 1
GCD of 129, 771, 84, 113 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 129, 771, 84, 113?
GCD of 129, 771, 84, 113 is 1
2. Where do I get the detailed procedure to find GCD of 129, 771, 84, 113?
You can find a detailed procedure to find GCD of 129, 771, 84, 113 on our page.
3. How to find GCD of 129, 771, 84, 113 on a calculator?
You can find the GCD of 129, 771, 84, 113 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.