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 225, 293, 513, 295 i.e. 1 largest integer that divides all the numbers equally.
GCD of 225, 293, 513, 295 is 1
GCD(225, 293, 513, 295) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 225, 293, 513, 295 is 1
GCD(225, 293, 513, 295) = 1
Given Input numbers are 225, 293, 513, 295
To find the GCD of numbers using factoring list out all the divisors of each number
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 293
List of positive integer divisors of 293 that divides 293 without a remainder.
1, 293
Divisors of 513
List of positive integer divisors of 513 that divides 513 without a remainder.
1, 3, 9, 19, 27, 57, 171, 513
Divisors of 295
List of positive integer divisors of 295 that divides 295 without a remainder.
1, 5, 59, 295
Greatest Common Divisior
We found the divisors of 225, 293, 513, 295 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 225, 293, 513, 295 is 1.
Therefore, GCD of numbers 225, 293, 513, 295 is 1
Given Input Data is 225, 293, 513, 295
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 225 is 3 x 3 x 5 x 5
Prime Factorization of 293 is 293
Prime Factorization of 513 is 3 x 3 x 3 x 19
Prime Factorization of 295 is 5 x 59
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(225, 293) = 65925
GCD(225, 293) = ( 225 x 293 ) / 65925
GCD(225, 293) = 65925 / 65925
GCD(225, 293) = 1
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 295
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 295) = 295
GCD(1, 295) = ( 1 x 295 ) / 295
GCD(1, 295) = 295 / 295
GCD(1, 295) = 1
GCD of 225, 293, 513, 295 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 225, 293, 513, 295?
GCD of 225, 293, 513, 295 is 1
2. Where do I get the detailed procedure to find GCD of 225, 293, 513, 295?
You can find a detailed procedure to find GCD of 225, 293, 513, 295 on our page.
3. How to find GCD of 225, 293, 513, 295 on a calculator?
You can find the GCD of 225, 293, 513, 295 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.