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 96, 328, 363, 873 i.e. 1 largest integer that divides all the numbers equally.
GCD of 96, 328, 363, 873 is 1
GCD(96, 328, 363, 873) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 96, 328, 363, 873 is 1
GCD(96, 328, 363, 873) = 1
Given Input numbers are 96, 328, 363, 873
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 96
List of positive integer divisors of 96 that divides 96 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Divisors of 328
List of positive integer divisors of 328 that divides 328 without a remainder.
1, 2, 4, 8, 41, 82, 164, 328
Divisors of 363
List of positive integer divisors of 363 that divides 363 without a remainder.
1, 3, 11, 33, 121, 363
Divisors of 873
List of positive integer divisors of 873 that divides 873 without a remainder.
1, 3, 9, 97, 291, 873
Greatest Common Divisior
We found the divisors of 96, 328, 363, 873 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 96, 328, 363, 873 is 1.
Therefore, GCD of numbers 96, 328, 363, 873 is 1
Given Input Data is 96, 328, 363, 873
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 328 is 2 x 2 x 2 x 41
Prime Factorization of 363 is 3 x 11 x 11
Prime Factorization of 873 is 3 x 3 x 97
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(96, 328) = 3936
GCD(96, 328) = ( 96 x 328 ) / 3936
GCD(96, 328) = 31488 / 3936
GCD(96, 328) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 363
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 363) = 2904
GCD(8, 363) = ( 8 x 363 ) / 2904
GCD(8, 363) = 2904 / 2904
GCD(8, 363) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 873
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 873) = 873
GCD(1, 873) = ( 1 x 873 ) / 873
GCD(1, 873) = 873 / 873
GCD(1, 873) = 1
GCD of 96, 328, 363, 873 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 96, 328, 363, 873?
GCD of 96, 328, 363, 873 is 1
2. Where do I get the detailed procedure to find GCD of 96, 328, 363, 873?
You can find a detailed procedure to find GCD of 96, 328, 363, 873 on our page.
3. How to find GCD of 96, 328, 363, 873 on a calculator?
You can find the GCD of 96, 328, 363, 873 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.