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 928, 317, 234, 452 i.e. 1 largest integer that divides all the numbers equally.
GCD of 928, 317, 234, 452 is 1
GCD(928, 317, 234, 452) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 928, 317, 234, 452 is 1
GCD(928, 317, 234, 452) = 1
Given Input numbers are 928, 317, 234, 452
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 928
List of positive integer divisors of 928 that divides 928 without a remainder.
1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
Divisors of 317
List of positive integer divisors of 317 that divides 317 without a remainder.
1, 317
Divisors of 234
List of positive integer divisors of 234 that divides 234 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
Divisors of 452
List of positive integer divisors of 452 that divides 452 without a remainder.
1, 2, 4, 113, 226, 452
Greatest Common Divisior
We found the divisors of 928, 317, 234, 452 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 928, 317, 234, 452 is 1.
Therefore, GCD of numbers 928, 317, 234, 452 is 1
Given Input Data is 928, 317, 234, 452
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29
Prime Factorization of 317 is 317
Prime Factorization of 234 is 2 x 3 x 3 x 13
Prime Factorization of 452 is 2 x 2 x 113
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(928, 317) = 294176
GCD(928, 317) = ( 928 x 317 ) / 294176
GCD(928, 317) = 294176 / 294176
GCD(928, 317) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 234
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 234) = 234
GCD(1, 234) = ( 1 x 234 ) / 234
GCD(1, 234) = 234 / 234
GCD(1, 234) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 452
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 452) = 452
GCD(1, 452) = ( 1 x 452 ) / 452
GCD(1, 452) = 452 / 452
GCD(1, 452) = 1
GCD of 928, 317, 234, 452 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 928, 317, 234, 452?
GCD of 928, 317, 234, 452 is 1
2. Where do I get the detailed procedure to find GCD of 928, 317, 234, 452?
You can find a detailed procedure to find GCD of 928, 317, 234, 452 on our page.
3. How to find GCD of 928, 317, 234, 452 on a calculator?
You can find the GCD of 928, 317, 234, 452 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.