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 796, 577, 574, 394 i.e. 1 largest integer that divides all the numbers equally.
GCD of 796, 577, 574, 394 is 1
GCD(796, 577, 574, 394) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 796, 577, 574, 394 is 1
GCD(796, 577, 574, 394) = 1
Given Input numbers are 796, 577, 574, 394
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 796
List of positive integer divisors of 796 that divides 796 without a remainder.
1, 2, 4, 199, 398, 796
Divisors of 577
List of positive integer divisors of 577 that divides 577 without a remainder.
1, 577
Divisors of 574
List of positive integer divisors of 574 that divides 574 without a remainder.
1, 2, 7, 14, 41, 82, 287, 574
Divisors of 394
List of positive integer divisors of 394 that divides 394 without a remainder.
1, 2, 197, 394
Greatest Common Divisior
We found the divisors of 796, 577, 574, 394 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 796, 577, 574, 394 is 1.
Therefore, GCD of numbers 796, 577, 574, 394 is 1
Given Input Data is 796, 577, 574, 394
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 796 is 2 x 2 x 199
Prime Factorization of 577 is 577
Prime Factorization of 574 is 2 x 7 x 41
Prime Factorization of 394 is 2 x 197
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(796, 577) = 459292
GCD(796, 577) = ( 796 x 577 ) / 459292
GCD(796, 577) = 459292 / 459292
GCD(796, 577) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 574
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 574) = 574
GCD(1, 574) = ( 1 x 574 ) / 574
GCD(1, 574) = 574 / 574
GCD(1, 574) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 394
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 394) = 394
GCD(1, 394) = ( 1 x 394 ) / 394
GCD(1, 394) = 394 / 394
GCD(1, 394) = 1
GCD of 796, 577, 574, 394 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 796, 577, 574, 394?
GCD of 796, 577, 574, 394 is 1
2. Where do I get the detailed procedure to find GCD of 796, 577, 574, 394?
You can find a detailed procedure to find GCD of 796, 577, 574, 394 on our page.
3. How to find GCD of 796, 577, 574, 394 on a calculator?
You can find the GCD of 796, 577, 574, 394 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.