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, 412, 10, 388 i.e. 1 largest integer that divides all the numbers equally.
GCD of 225, 412, 10, 388 is 1
GCD(225, 412, 10, 388) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 225, 412, 10, 388 is 1
GCD(225, 412, 10, 388) = 1
Given Input numbers are 225, 412, 10, 388
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 412
List of positive integer divisors of 412 that divides 412 without a remainder.
1, 2, 4, 103, 206, 412
Divisors of 10
List of positive integer divisors of 10 that divides 10 without a remainder.
1, 2, 5, 10
Divisors of 388
List of positive integer divisors of 388 that divides 388 without a remainder.
1, 2, 4, 97, 194, 388
Greatest Common Divisior
We found the divisors of 225, 412, 10, 388 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 225, 412, 10, 388 is 1.
Therefore, GCD of numbers 225, 412, 10, 388 is 1
Given Input Data is 225, 412, 10, 388
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 412 is 2 x 2 x 103
Prime Factorization of 10 is 2 x 5
Prime Factorization of 388 is 2 x 2 x 97
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, 412) = 92700
GCD(225, 412) = ( 225 x 412 ) / 92700
GCD(225, 412) = 92700 / 92700
GCD(225, 412) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 10
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 10) = 10
GCD(1, 10) = ( 1 x 10 ) / 10
GCD(1, 10) = 10 / 10
GCD(1, 10) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 388
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 388) = 388
GCD(1, 388) = ( 1 x 388 ) / 388
GCD(1, 388) = 388 / 388
GCD(1, 388) = 1
GCD of 225, 412, 10, 388 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 225, 412, 10, 388?
GCD of 225, 412, 10, 388 is 1
2. Where do I get the detailed procedure to find GCD of 225, 412, 10, 388?
You can find a detailed procedure to find GCD of 225, 412, 10, 388 on our page.
3. How to find GCD of 225, 412, 10, 388 on a calculator?
You can find the GCD of 225, 412, 10, 388 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.