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, 437, 322, 567 i.e. 1 largest integer that divides all the numbers equally.
GCD of 225, 437, 322, 567 is 1
GCD(225, 437, 322, 567) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 225, 437, 322, 567 is 1
GCD(225, 437, 322, 567) = 1
Given Input numbers are 225, 437, 322, 567
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 437
List of positive integer divisors of 437 that divides 437 without a remainder.
1, 19, 23, 437
Divisors of 322
List of positive integer divisors of 322 that divides 322 without a remainder.
1, 2, 7, 14, 23, 46, 161, 322
Divisors of 567
List of positive integer divisors of 567 that divides 567 without a remainder.
1, 3, 7, 9, 21, 27, 63, 81, 189, 567
Greatest Common Divisior
We found the divisors of 225, 437, 322, 567 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 225, 437, 322, 567 is 1.
Therefore, GCD of numbers 225, 437, 322, 567 is 1
Given Input Data is 225, 437, 322, 567
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 437 is 19 x 23
Prime Factorization of 322 is 2 x 7 x 23
Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7
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, 437) = 98325
GCD(225, 437) = ( 225 x 437 ) / 98325
GCD(225, 437) = 98325 / 98325
GCD(225, 437) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 322
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 322) = 322
GCD(1, 322) = ( 1 x 322 ) / 322
GCD(1, 322) = 322 / 322
GCD(1, 322) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 567
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 567) = 567
GCD(1, 567) = ( 1 x 567 ) / 567
GCD(1, 567) = 567 / 567
GCD(1, 567) = 1
GCD of 225, 437, 322, 567 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 225, 437, 322, 567?
GCD of 225, 437, 322, 567 is 1
2. Where do I get the detailed procedure to find GCD of 225, 437, 322, 567?
You can find a detailed procedure to find GCD of 225, 437, 322, 567 on our page.
3. How to find GCD of 225, 437, 322, 567 on a calculator?
You can find the GCD of 225, 437, 322, 567 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.