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 488, 517, 325, 254 i.e. 1 largest integer that divides all the numbers equally.
GCD of 488, 517, 325, 254 is 1
GCD(488, 517, 325, 254) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 488, 517, 325, 254 is 1
GCD(488, 517, 325, 254) = 1
Given Input numbers are 488, 517, 325, 254
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 488
List of positive integer divisors of 488 that divides 488 without a remainder.
1, 2, 4, 8, 61, 122, 244, 488
Divisors of 517
List of positive integer divisors of 517 that divides 517 without a remainder.
1, 11, 47, 517
Divisors of 325
List of positive integer divisors of 325 that divides 325 without a remainder.
1, 5, 13, 25, 65, 325
Divisors of 254
List of positive integer divisors of 254 that divides 254 without a remainder.
1, 2, 127, 254
Greatest Common Divisior
We found the divisors of 488, 517, 325, 254 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 488, 517, 325, 254 is 1.
Therefore, GCD of numbers 488, 517, 325, 254 is 1
Given Input Data is 488, 517, 325, 254
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 488 is 2 x 2 x 2 x 61
Prime Factorization of 517 is 11 x 47
Prime Factorization of 325 is 5 x 5 x 13
Prime Factorization of 254 is 2 x 127
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(488, 517) = 252296
GCD(488, 517) = ( 488 x 517 ) / 252296
GCD(488, 517) = 252296 / 252296
GCD(488, 517) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 325
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 325) = 325
GCD(1, 325) = ( 1 x 325 ) / 325
GCD(1, 325) = 325 / 325
GCD(1, 325) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 254
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 254) = 254
GCD(1, 254) = ( 1 x 254 ) / 254
GCD(1, 254) = 254 / 254
GCD(1, 254) = 1
GCD of 488, 517, 325, 254 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 488, 517, 325, 254?
GCD of 488, 517, 325, 254 is 1
2. Where do I get the detailed procedure to find GCD of 488, 517, 325, 254?
You can find a detailed procedure to find GCD of 488, 517, 325, 254 on our page.
3. How to find GCD of 488, 517, 325, 254 on a calculator?
You can find the GCD of 488, 517, 325, 254 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.