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, 512, 39, 163 i.e. 1 largest integer that divides all the numbers equally.
GCD of 317, 512, 39, 163 is 1
GCD(317, 512, 39, 163) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 317, 512, 39, 163 is 1
GCD(317, 512, 39, 163) = 1
Given Input numbers are 317, 512, 39, 163
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 512
List of positive integer divisors of 512 that divides 512 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128, 256, 512
Divisors of 39
List of positive integer divisors of 39 that divides 39 without a remainder.
1, 3, 13, 39
Divisors of 163
List of positive integer divisors of 163 that divides 163 without a remainder.
1, 163
Greatest Common Divisior
We found the divisors of 317, 512, 39, 163 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 317, 512, 39, 163 is 1.
Therefore, GCD of numbers 317, 512, 39, 163 is 1
Given Input Data is 317, 512, 39, 163
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 317 is 317
Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 39 is 3 x 13
Prime Factorization of 163 is 163
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, 512) = 162304
GCD(317, 512) = ( 317 x 512 ) / 162304
GCD(317, 512) = 162304 / 162304
GCD(317, 512) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 39
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 39) = 39
GCD(1, 39) = ( 1 x 39 ) / 39
GCD(1, 39) = 39 / 39
GCD(1, 39) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 163
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 163) = 163
GCD(1, 163) = ( 1 x 163 ) / 163
GCD(1, 163) = 163 / 163
GCD(1, 163) = 1
GCD of 317, 512, 39, 163 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 317, 512, 39, 163?
GCD of 317, 512, 39, 163 is 1
2. Where do I get the detailed procedure to find GCD of 317, 512, 39, 163?
You can find a detailed procedure to find GCD of 317, 512, 39, 163 on our page.
3. How to find GCD of 317, 512, 39, 163 on a calculator?
You can find the GCD of 317, 512, 39, 163 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.