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, 446, 965, 796 i.e. 1 largest integer that divides all the numbers equally.
GCD of 17, 446, 965, 796 is 1
GCD(17, 446, 965, 796) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 17, 446, 965, 796 is 1
GCD(17, 446, 965, 796) = 1
Given Input numbers are 17, 446, 965, 796
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 446
List of positive integer divisors of 446 that divides 446 without a remainder.
1, 2, 223, 446
Divisors of 965
List of positive integer divisors of 965 that divides 965 without a remainder.
1, 5, 193, 965
Divisors of 796
List of positive integer divisors of 796 that divides 796 without a remainder.
1, 2, 4, 199, 398, 796
Greatest Common Divisior
We found the divisors of 17, 446, 965, 796 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 17, 446, 965, 796 is 1.
Therefore, GCD of numbers 17, 446, 965, 796 is 1
Given Input Data is 17, 446, 965, 796
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 17 is 17
Prime Factorization of 446 is 2 x 223
Prime Factorization of 965 is 5 x 193
Prime Factorization of 796 is 2 x 2 x 199
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, 446) = 7582
GCD(17, 446) = ( 17 x 446 ) / 7582
GCD(17, 446) = 7582 / 7582
GCD(17, 446) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 965
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 965) = 965
GCD(1, 965) = ( 1 x 965 ) / 965
GCD(1, 965) = 965 / 965
GCD(1, 965) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 796
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 796) = 796
GCD(1, 796) = ( 1 x 796 ) / 796
GCD(1, 796) = 796 / 796
GCD(1, 796) = 1
GCD of 17, 446, 965, 796 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 17, 446, 965, 796?
GCD of 17, 446, 965, 796 is 1
2. Where do I get the detailed procedure to find GCD of 17, 446, 965, 796?
You can find a detailed procedure to find GCD of 17, 446, 965, 796 on our page.
3. How to find GCD of 17, 446, 965, 796 on a calculator?
You can find the GCD of 17, 446, 965, 796 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.