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 195, 108, 794, 168 i.e. 1 largest integer that divides all the numbers equally.
GCD of 195, 108, 794, 168 is 1
GCD(195, 108, 794, 168) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 195, 108, 794, 168 is 1
GCD(195, 108, 794, 168) = 1
Given Input numbers are 195, 108, 794, 168
To find the GCD of numbers using factoring list out all the divisors of each number
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 108
List of positive integer divisors of 108 that divides 108 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 794
List of positive integer divisors of 794 that divides 794 without a remainder.
1, 2, 397, 794
Divisors of 168
List of positive integer divisors of 168 that divides 168 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Greatest Common Divisior
We found the divisors of 195, 108, 794, 168 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 195, 108, 794, 168 is 1.
Therefore, GCD of numbers 195, 108, 794, 168 is 1
Given Input Data is 195, 108, 794, 168
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 195 is 3 x 5 x 13
Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3
Prime Factorization of 794 is 2 x 397
Prime Factorization of 168 is 2 x 2 x 2 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(195, 108) = 7020
GCD(195, 108) = ( 195 x 108 ) / 7020
GCD(195, 108) = 21060 / 7020
GCD(195, 108) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 794
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 794) = 2382
GCD(3, 794) = ( 3 x 794 ) / 2382
GCD(3, 794) = 2382 / 2382
GCD(3, 794) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 168
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 168) = 168
GCD(1, 168) = ( 1 x 168 ) / 168
GCD(1, 168) = 168 / 168
GCD(1, 168) = 1
GCD of 195, 108, 794, 168 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 195, 108, 794, 168?
GCD of 195, 108, 794, 168 is 1
2. Where do I get the detailed procedure to find GCD of 195, 108, 794, 168?
You can find a detailed procedure to find GCD of 195, 108, 794, 168 on our page.
3. How to find GCD of 195, 108, 794, 168 on a calculator?
You can find the GCD of 195, 108, 794, 168 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.