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 831, 241, 90, 996 i.e. 1 largest integer that divides all the numbers equally.
GCD of 831, 241, 90, 996 is 1
GCD(831, 241, 90, 996) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 831, 241, 90, 996 is 1
GCD(831, 241, 90, 996) = 1
Given Input numbers are 831, 241, 90, 996
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 831
List of positive integer divisors of 831 that divides 831 without a remainder.
1, 3, 277, 831
Divisors of 241
List of positive integer divisors of 241 that divides 241 without a remainder.
1, 241
Divisors of 90
List of positive integer divisors of 90 that divides 90 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
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
Greatest Common Divisior
We found the divisors of 831, 241, 90, 996 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 831, 241, 90, 996 is 1.
Therefore, GCD of numbers 831, 241, 90, 996 is 1
Given Input Data is 831, 241, 90, 996
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 831 is 3 x 277
Prime Factorization of 241 is 241
Prime Factorization of 90 is 2 x 3 x 3 x 5
Prime Factorization of 996 is 2 x 2 x 3 x 83
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(831, 241) = 200271
GCD(831, 241) = ( 831 x 241 ) / 200271
GCD(831, 241) = 200271 / 200271
GCD(831, 241) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 90
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 90) = 90
GCD(1, 90) = ( 1 x 90 ) / 90
GCD(1, 90) = 90 / 90
GCD(1, 90) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 996
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 996) = 996
GCD(1, 996) = ( 1 x 996 ) / 996
GCD(1, 996) = 996 / 996
GCD(1, 996) = 1
GCD of 831, 241, 90, 996 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 831, 241, 90, 996?
GCD of 831, 241, 90, 996 is 1
2. Where do I get the detailed procedure to find GCD of 831, 241, 90, 996?
You can find a detailed procedure to find GCD of 831, 241, 90, 996 on our page.
3. How to find GCD of 831, 241, 90, 996 on a calculator?
You can find the GCD of 831, 241, 90, 996 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.