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 403, 225, 130, 513 i.e. 1 largest integer that divides all the numbers equally.
GCD of 403, 225, 130, 513 is 1
GCD(403, 225, 130, 513) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 403, 225, 130, 513 is 1
GCD(403, 225, 130, 513) = 1
Given Input numbers are 403, 225, 130, 513
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 403
List of positive integer divisors of 403 that divides 403 without a remainder.
1, 13, 31, 403
Divisors of 225
List of positive integer divisors of 225 that divides 225 without a remainder.
1, 3, 5, 9, 15, 25, 45, 75, 225
Divisors of 130
List of positive integer divisors of 130 that divides 130 without a remainder.
1, 2, 5, 10, 13, 26, 65, 130
Divisors of 513
List of positive integer divisors of 513 that divides 513 without a remainder.
1, 3, 9, 19, 27, 57, 171, 513
Greatest Common Divisior
We found the divisors of 403, 225, 130, 513 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 403, 225, 130, 513 is 1.
Therefore, GCD of numbers 403, 225, 130, 513 is 1
Given Input Data is 403, 225, 130, 513
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 403 is 13 x 31
Prime Factorization of 225 is 3 x 3 x 5 x 5
Prime Factorization of 130 is 2 x 5 x 13
Prime Factorization of 513 is 3 x 3 x 3 x 19
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(403, 225) = 90675
GCD(403, 225) = ( 403 x 225 ) / 90675
GCD(403, 225) = 90675 / 90675
GCD(403, 225) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 130
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 130) = 130
GCD(1, 130) = ( 1 x 130 ) / 130
GCD(1, 130) = 130 / 130
GCD(1, 130) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 513
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 513) = 513
GCD(1, 513) = ( 1 x 513 ) / 513
GCD(1, 513) = 513 / 513
GCD(1, 513) = 1
GCD of 403, 225, 130, 513 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 403, 225, 130, 513?
GCD of 403, 225, 130, 513 is 1
2. Where do I get the detailed procedure to find GCD of 403, 225, 130, 513?
You can find a detailed procedure to find GCD of 403, 225, 130, 513 on our page.
3. How to find GCD of 403, 225, 130, 513 on a calculator?
You can find the GCD of 403, 225, 130, 513 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.