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 317, 831, 17, 166 i.e. 1 largest integer that divides all the numbers equally.
GCD of 317, 831, 17, 166 is 1
GCD(317, 831, 17, 166) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 317, 831, 17, 166 is 1
GCD(317, 831, 17, 166) = 1
Given Input numbers are 317, 831, 17, 166
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 317
List of positive integer divisors of 317 that divides 317 without a remainder.
1, 317
Divisors of 831
List of positive integer divisors of 831 that divides 831 without a remainder.
1, 3, 277, 831
Divisors of 17
List of positive integer divisors of 17 that divides 17 without a remainder.
1, 17
Divisors of 166
List of positive integer divisors of 166 that divides 166 without a remainder.
1, 2, 83, 166
Greatest Common Divisior
We found the divisors of 317, 831, 17, 166 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 317, 831, 17, 166 is 1.
Therefore, GCD of numbers 317, 831, 17, 166 is 1
Given Input Data is 317, 831, 17, 166
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 317 is 317
Prime Factorization of 831 is 3 x 277
Prime Factorization of 17 is 17
Prime Factorization of 166 is 2 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(317, 831) = 263427
GCD(317, 831) = ( 317 x 831 ) / 263427
GCD(317, 831) = 263427 / 263427
GCD(317, 831) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 17
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 17) = 17
GCD(1, 17) = ( 1 x 17 ) / 17
GCD(1, 17) = 17 / 17
GCD(1, 17) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 166
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 166) = 166
GCD(1, 166) = ( 1 x 166 ) / 166
GCD(1, 166) = 166 / 166
GCD(1, 166) = 1
GCD of 317, 831, 17, 166 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 317, 831, 17, 166?
GCD of 317, 831, 17, 166 is 1
2. Where do I get the detailed procedure to find GCD of 317, 831, 17, 166?
You can find a detailed procedure to find GCD of 317, 831, 17, 166 on our page.
3. How to find GCD of 317, 831, 17, 166 on a calculator?
You can find the GCD of 317, 831, 17, 166 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.