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 116, 819, 195, 126 i.e. 1 largest integer that divides all the numbers equally.
GCD of 116, 819, 195, 126 is 1
GCD(116, 819, 195, 126) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 116, 819, 195, 126 is 1
GCD(116, 819, 195, 126) = 1
Given Input numbers are 116, 819, 195, 126
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 116
List of positive integer divisors of 116 that divides 116 without a remainder.
1, 2, 4, 29, 58, 116
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 195
List of positive integer divisors of 195 that divides 195 without a remainder.
1, 3, 5, 13, 15, 39, 65, 195
Divisors of 126
List of positive integer divisors of 126 that divides 126 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Greatest Common Divisior
We found the divisors of 116, 819, 195, 126 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 116, 819, 195, 126 is 1.
Therefore, GCD of numbers 116, 819, 195, 126 is 1
Given Input Data is 116, 819, 195, 126
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 116 is 2 x 2 x 29
Prime Factorization of 819 is 3 x 3 x 7 x 13
Prime Factorization of 195 is 3 x 5 x 13
Prime Factorization of 126 is 2 x 3 x 3 x 7
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(116, 819) = 95004
GCD(116, 819) = ( 116 x 819 ) / 95004
GCD(116, 819) = 95004 / 95004
GCD(116, 819) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 195
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 195) = 195
GCD(1, 195) = ( 1 x 195 ) / 195
GCD(1, 195) = 195 / 195
GCD(1, 195) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 126
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 126) = 126
GCD(1, 126) = ( 1 x 126 ) / 126
GCD(1, 126) = 126 / 126
GCD(1, 126) = 1
GCD of 116, 819, 195, 126 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 116, 819, 195, 126?
GCD of 116, 819, 195, 126 is 1
2. Where do I get the detailed procedure to find GCD of 116, 819, 195, 126?
You can find a detailed procedure to find GCD of 116, 819, 195, 126 on our page.
3. How to find GCD of 116, 819, 195, 126 on a calculator?
You can find the GCD of 116, 819, 195, 126 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.