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 975, 808, 115, 396 i.e. 1 largest integer that divides all the numbers equally.
GCD of 975, 808, 115, 396 is 1
GCD(975, 808, 115, 396) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 975, 808, 115, 396 is 1
GCD(975, 808, 115, 396) = 1
Given Input numbers are 975, 808, 115, 396
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 975
List of positive integer divisors of 975 that divides 975 without a remainder.
1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
Divisors of 808
List of positive integer divisors of 808 that divides 808 without a remainder.
1, 2, 4, 8, 101, 202, 404, 808
Divisors of 115
List of positive integer divisors of 115 that divides 115 without a remainder.
1, 5, 23, 115
Divisors of 396
List of positive integer divisors of 396 that divides 396 without a remainder.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
Greatest Common Divisior
We found the divisors of 975, 808, 115, 396 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 975, 808, 115, 396 is 1.
Therefore, GCD of numbers 975, 808, 115, 396 is 1
Given Input Data is 975, 808, 115, 396
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 975 is 3 x 5 x 5 x 13
Prime Factorization of 808 is 2 x 2 x 2 x 101
Prime Factorization of 115 is 5 x 23
Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11
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(975, 808) = 787800
GCD(975, 808) = ( 975 x 808 ) / 787800
GCD(975, 808) = 787800 / 787800
GCD(975, 808) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 115
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 115) = 115
GCD(1, 115) = ( 1 x 115 ) / 115
GCD(1, 115) = 115 / 115
GCD(1, 115) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 396
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 396) = 396
GCD(1, 396) = ( 1 x 396 ) / 396
GCD(1, 396) = 396 / 396
GCD(1, 396) = 1
GCD of 975, 808, 115, 396 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 975, 808, 115, 396?
GCD of 975, 808, 115, 396 is 1
2. Where do I get the detailed procedure to find GCD of 975, 808, 115, 396?
You can find a detailed procedure to find GCD of 975, 808, 115, 396 on our page.
3. How to find GCD of 975, 808, 115, 396 on a calculator?
You can find the GCD of 975, 808, 115, 396 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.