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 28, 304, 201, 225 i.e. 1 largest integer that divides all the numbers equally.
GCD of 28, 304, 201, 225 is 1
GCD(28, 304, 201, 225) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 28, 304, 201, 225 is 1
GCD(28, 304, 201, 225) = 1
Given Input numbers are 28, 304, 201, 225
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 28
List of positive integer divisors of 28 that divides 28 without a remainder.
1, 2, 4, 7, 14, 28
Divisors of 304
List of positive integer divisors of 304 that divides 304 without a remainder.
1, 2, 4, 8, 16, 19, 38, 76, 152, 304
Divisors of 201
List of positive integer divisors of 201 that divides 201 without a remainder.
1, 3, 67, 201
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
Greatest Common Divisior
We found the divisors of 28, 304, 201, 225 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 28, 304, 201, 225 is 1.
Therefore, GCD of numbers 28, 304, 201, 225 is 1
Given Input Data is 28, 304, 201, 225
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 28 is 2 x 2 x 7
Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19
Prime Factorization of 201 is 3 x 67
Prime Factorization of 225 is 3 x 3 x 5 x 5
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(28, 304) = 2128
GCD(28, 304) = ( 28 x 304 ) / 2128
GCD(28, 304) = 8512 / 2128
GCD(28, 304) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 201
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 201) = 804
GCD(4, 201) = ( 4 x 201 ) / 804
GCD(4, 201) = 804 / 804
GCD(4, 201) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 225
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 225) = 225
GCD(1, 225) = ( 1 x 225 ) / 225
GCD(1, 225) = 225 / 225
GCD(1, 225) = 1
GCD of 28, 304, 201, 225 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 28, 304, 201, 225?
GCD of 28, 304, 201, 225 is 1
2. Where do I get the detailed procedure to find GCD of 28, 304, 201, 225?
You can find a detailed procedure to find GCD of 28, 304, 201, 225 on our page.
3. How to find GCD of 28, 304, 201, 225 on a calculator?
You can find the GCD of 28, 304, 201, 225 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.