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 325, 253, 353, 510 i.e. 1 largest integer that divides all the numbers equally.
GCD of 325, 253, 353, 510 is 1
GCD(325, 253, 353, 510) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 325, 253, 353, 510 is 1
GCD(325, 253, 353, 510) = 1
Given Input numbers are 325, 253, 353, 510
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 325
List of positive integer divisors of 325 that divides 325 without a remainder.
1, 5, 13, 25, 65, 325
Divisors of 253
List of positive integer divisors of 253 that divides 253 without a remainder.
1, 11, 23, 253
Divisors of 353
List of positive integer divisors of 353 that divides 353 without a remainder.
1, 353
Divisors of 510
List of positive integer divisors of 510 that divides 510 without a remainder.
1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
Greatest Common Divisior
We found the divisors of 325, 253, 353, 510 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 325, 253, 353, 510 is 1.
Therefore, GCD of numbers 325, 253, 353, 510 is 1
Given Input Data is 325, 253, 353, 510
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 325 is 5 x 5 x 13
Prime Factorization of 253 is 11 x 23
Prime Factorization of 353 is 353
Prime Factorization of 510 is 2 x 3 x 5 x 17
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(325, 253) = 82225
GCD(325, 253) = ( 325 x 253 ) / 82225
GCD(325, 253) = 82225 / 82225
GCD(325, 253) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 353
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 353) = 353
GCD(1, 353) = ( 1 x 353 ) / 353
GCD(1, 353) = 353 / 353
GCD(1, 353) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 510
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 510) = 510
GCD(1, 510) = ( 1 x 510 ) / 510
GCD(1, 510) = 510 / 510
GCD(1, 510) = 1
GCD of 325, 253, 353, 510 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 325, 253, 353, 510?
GCD of 325, 253, 353, 510 is 1
2. Where do I get the detailed procedure to find GCD of 325, 253, 353, 510?
You can find a detailed procedure to find GCD of 325, 253, 353, 510 on our page.
3. How to find GCD of 325, 253, 353, 510 on a calculator?
You can find the GCD of 325, 253, 353, 510 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.