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 17, 804, 961, 799 i.e. 1 largest integer that divides all the numbers equally.
GCD of 17, 804, 961, 799 is 1
GCD(17, 804, 961, 799) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 17, 804, 961, 799 is 1
GCD(17, 804, 961, 799) = 1
Given Input numbers are 17, 804, 961, 799
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 17
List of positive integer divisors of 17 that divides 17 without a remainder.
1, 17
Divisors of 804
List of positive integer divisors of 804 that divides 804 without a remainder.
1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
Divisors of 961
List of positive integer divisors of 961 that divides 961 without a remainder.
1, 31, 961
Divisors of 799
List of positive integer divisors of 799 that divides 799 without a remainder.
1, 17, 47, 799
Greatest Common Divisior
We found the divisors of 17, 804, 961, 799 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 17, 804, 961, 799 is 1.
Therefore, GCD of numbers 17, 804, 961, 799 is 1
Given Input Data is 17, 804, 961, 799
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 17 is 17
Prime Factorization of 804 is 2 x 2 x 3 x 67
Prime Factorization of 961 is 31 x 31
Prime Factorization of 799 is 17 x 47
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(17, 804) = 13668
GCD(17, 804) = ( 17 x 804 ) / 13668
GCD(17, 804) = 13668 / 13668
GCD(17, 804) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 961
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 961) = 961
GCD(1, 961) = ( 1 x 961 ) / 961
GCD(1, 961) = 961 / 961
GCD(1, 961) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 799
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 799) = 799
GCD(1, 799) = ( 1 x 799 ) / 799
GCD(1, 799) = 799 / 799
GCD(1, 799) = 1
GCD of 17, 804, 961, 799 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 17, 804, 961, 799?
GCD of 17, 804, 961, 799 is 1
2. Where do I get the detailed procedure to find GCD of 17, 804, 961, 799?
You can find a detailed procedure to find GCD of 17, 804, 961, 799 on our page.
3. How to find GCD of 17, 804, 961, 799 on a calculator?
You can find the GCD of 17, 804, 961, 799 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.