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, 595, 68, 251 i.e. 1 largest integer that divides all the numbers equally.
GCD of 225, 595, 68, 251 is 1
GCD(225, 595, 68, 251) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 225, 595, 68, 251 is 1
GCD(225, 595, 68, 251) = 1
Given Input numbers are 225, 595, 68, 251
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 595
List of positive integer divisors of 595 that divides 595 without a remainder.
1, 5, 7, 17, 35, 85, 119, 595
Divisors of 68
List of positive integer divisors of 68 that divides 68 without a remainder.
1, 2, 4, 17, 34, 68
Divisors of 251
List of positive integer divisors of 251 that divides 251 without a remainder.
1, 251
Greatest Common Divisior
We found the divisors of 225, 595, 68, 251 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 225, 595, 68, 251 is 1.
Therefore, GCD of numbers 225, 595, 68, 251 is 1
Given Input Data is 225, 595, 68, 251
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 595 is 5 x 7 x 17
Prime Factorization of 68 is 2 x 2 x 17
Prime Factorization of 251 is 251
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, 595) = 26775
GCD(225, 595) = ( 225 x 595 ) / 26775
GCD(225, 595) = 133875 / 26775
GCD(225, 595) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 68
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 68) = 340
GCD(5, 68) = ( 5 x 68 ) / 340
GCD(5, 68) = 340 / 340
GCD(5, 68) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 251
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 251) = 251
GCD(1, 251) = ( 1 x 251 ) / 251
GCD(1, 251) = 251 / 251
GCD(1, 251) = 1
GCD of 225, 595, 68, 251 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 225, 595, 68, 251?
GCD of 225, 595, 68, 251 is 1
2. Where do I get the detailed procedure to find GCD of 225, 595, 68, 251?
You can find a detailed procedure to find GCD of 225, 595, 68, 251 on our page.
3. How to find GCD of 225, 595, 68, 251 on a calculator?
You can find the GCD of 225, 595, 68, 251 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.