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 794, 338, 732, 195 i.e. 1 largest integer that divides all the numbers equally.
GCD of 794, 338, 732, 195 is 1
GCD(794, 338, 732, 195) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 794, 338, 732, 195 is 1
GCD(794, 338, 732, 195) = 1
Given Input numbers are 794, 338, 732, 195
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 794
List of positive integer divisors of 794 that divides 794 without a remainder.
1, 2, 397, 794
Divisors of 338
List of positive integer divisors of 338 that divides 338 without a remainder.
1, 2, 13, 26, 169, 338
Divisors of 732
List of positive integer divisors of 732 that divides 732 without a remainder.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Divisors of 195
List of positive integer divisors of 195 that divides 195 without a remainder.
1, 3, 5, 13, 15, 39, 65, 195
Greatest Common Divisior
We found the divisors of 794, 338, 732, 195 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 794, 338, 732, 195 is 1.
Therefore, GCD of numbers 794, 338, 732, 195 is 1
Given Input Data is 794, 338, 732, 195
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 794 is 2 x 397
Prime Factorization of 338 is 2 x 13 x 13
Prime Factorization of 732 is 2 x 2 x 3 x 61
Prime Factorization of 195 is 3 x 5 x 13
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(794, 338) = 134186
GCD(794, 338) = ( 794 x 338 ) / 134186
GCD(794, 338) = 268372 / 134186
GCD(794, 338) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 732
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 732) = 732
GCD(2, 732) = ( 2 x 732 ) / 732
GCD(2, 732) = 1464 / 732
GCD(2, 732) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 195
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 195) = 390
GCD(2, 195) = ( 2 x 195 ) / 390
GCD(2, 195) = 390 / 390
GCD(2, 195) = 1
GCD of 794, 338, 732, 195 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 794, 338, 732, 195?
GCD of 794, 338, 732, 195 is 1
2. Where do I get the detailed procedure to find GCD of 794, 338, 732, 195?
You can find a detailed procedure to find GCD of 794, 338, 732, 195 on our page.
3. How to find GCD of 794, 338, 732, 195 on a calculator?
You can find the GCD of 794, 338, 732, 195 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.