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 996, 872, 395, 191 i.e. 1 largest integer that divides all the numbers equally.
GCD of 996, 872, 395, 191 is 1
GCD(996, 872, 395, 191) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 996, 872, 395, 191 is 1
GCD(996, 872, 395, 191) = 1
Given Input numbers are 996, 872, 395, 191
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 996
List of positive integer divisors of 996 that divides 996 without a remainder.
1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
Divisors of 872
List of positive integer divisors of 872 that divides 872 without a remainder.
1, 2, 4, 8, 109, 218, 436, 872
Divisors of 395
List of positive integer divisors of 395 that divides 395 without a remainder.
1, 5, 79, 395
Divisors of 191
List of positive integer divisors of 191 that divides 191 without a remainder.
1, 191
Greatest Common Divisior
We found the divisors of 996, 872, 395, 191 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 996, 872, 395, 191 is 1.
Therefore, GCD of numbers 996, 872, 395, 191 is 1
Given Input Data is 996, 872, 395, 191
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 996 is 2 x 2 x 3 x 83
Prime Factorization of 872 is 2 x 2 x 2 x 109
Prime Factorization of 395 is 5 x 79
Prime Factorization of 191 is 191
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(996, 872) = 217128
GCD(996, 872) = ( 996 x 872 ) / 217128
GCD(996, 872) = 868512 / 217128
GCD(996, 872) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 395
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 395) = 1580
GCD(4, 395) = ( 4 x 395 ) / 1580
GCD(4, 395) = 1580 / 1580
GCD(4, 395) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 191
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 191) = 191
GCD(1, 191) = ( 1 x 191 ) / 191
GCD(1, 191) = 191 / 191
GCD(1, 191) = 1
GCD of 996, 872, 395, 191 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 996, 872, 395, 191?
GCD of 996, 872, 395, 191 is 1
2. Where do I get the detailed procedure to find GCD of 996, 872, 395, 191?
You can find a detailed procedure to find GCD of 996, 872, 395, 191 on our page.
3. How to find GCD of 996, 872, 395, 191 on a calculator?
You can find the GCD of 996, 872, 395, 191 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.