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 315, 481, 256, 239 i.e. 1 largest integer that divides all the numbers equally.
GCD of 315, 481, 256, 239 is 1
GCD(315, 481, 256, 239) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 315, 481, 256, 239 is 1
GCD(315, 481, 256, 239) = 1
Given Input numbers are 315, 481, 256, 239
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 315
List of positive integer divisors of 315 that divides 315 without a remainder.
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
Divisors of 481
List of positive integer divisors of 481 that divides 481 without a remainder.
1, 13, 37, 481
Divisors of 256
List of positive integer divisors of 256 that divides 256 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128, 256
Divisors of 239
List of positive integer divisors of 239 that divides 239 without a remainder.
1, 239
Greatest Common Divisior
We found the divisors of 315, 481, 256, 239 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 315, 481, 256, 239 is 1.
Therefore, GCD of numbers 315, 481, 256, 239 is 1
Given Input Data is 315, 481, 256, 239
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 315 is 3 x 3 x 5 x 7
Prime Factorization of 481 is 13 x 37
Prime Factorization of 256 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 239 is 239
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(315, 481) = 151515
GCD(315, 481) = ( 315 x 481 ) / 151515
GCD(315, 481) = 151515 / 151515
GCD(315, 481) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 256
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 256) = 256
GCD(1, 256) = ( 1 x 256 ) / 256
GCD(1, 256) = 256 / 256
GCD(1, 256) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 239
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 239) = 239
GCD(1, 239) = ( 1 x 239 ) / 239
GCD(1, 239) = 239 / 239
GCD(1, 239) = 1
GCD of 315, 481, 256, 239 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 315, 481, 256, 239?
GCD of 315, 481, 256, 239 is 1
2. Where do I get the detailed procedure to find GCD of 315, 481, 256, 239?
You can find a detailed procedure to find GCD of 315, 481, 256, 239 on our page.
3. How to find GCD of 315, 481, 256, 239 on a calculator?
You can find the GCD of 315, 481, 256, 239 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.