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, 792, 344, 296 i.e. 1 largest integer that divides all the numbers equally.
GCD of 195, 792, 344, 296 is 1
GCD(195, 792, 344, 296) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 195, 792, 344, 296 is 1
GCD(195, 792, 344, 296) = 1
Given Input numbers are 195, 792, 344, 296
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 792
List of positive integer divisors of 792 that divides 792 without a remainder.
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
Divisors of 344
List of positive integer divisors of 344 that divides 344 without a remainder.
1, 2, 4, 8, 43, 86, 172, 344
Divisors of 296
List of positive integer divisors of 296 that divides 296 without a remainder.
1, 2, 4, 8, 37, 74, 148, 296
Greatest Common Divisior
We found the divisors of 195, 792, 344, 296 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 195, 792, 344, 296 is 1.
Therefore, GCD of numbers 195, 792, 344, 296 is 1
Given Input Data is 195, 792, 344, 296
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 792 is 2 x 2 x 2 x 3 x 3 x 11
Prime Factorization of 344 is 2 x 2 x 2 x 43
Prime Factorization of 296 is 2 x 2 x 2 x 37
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, 792) = 51480
GCD(195, 792) = ( 195 x 792 ) / 51480
GCD(195, 792) = 154440 / 51480
GCD(195, 792) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 344
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 344) = 1032
GCD(3, 344) = ( 3 x 344 ) / 1032
GCD(3, 344) = 1032 / 1032
GCD(3, 344) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 296
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 296) = 296
GCD(1, 296) = ( 1 x 296 ) / 296
GCD(1, 296) = 296 / 296
GCD(1, 296) = 1
GCD of 195, 792, 344, 296 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 195, 792, 344, 296?
GCD of 195, 792, 344, 296 is 1
2. Where do I get the detailed procedure to find GCD of 195, 792, 344, 296?
You can find a detailed procedure to find GCD of 195, 792, 344, 296 on our page.
3. How to find GCD of 195, 792, 344, 296 on a calculator?
You can find the GCD of 195, 792, 344, 296 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.