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, 909, 86, 663 i.e. 1 largest integer that divides all the numbers equally.
GCD of 225, 909, 86, 663 is 1
GCD(225, 909, 86, 663) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 225, 909, 86, 663 is 1
GCD(225, 909, 86, 663) = 1
Given Input numbers are 225, 909, 86, 663
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 909
List of positive integer divisors of 909 that divides 909 without a remainder.
1, 3, 9, 101, 303, 909
Divisors of 86
List of positive integer divisors of 86 that divides 86 without a remainder.
1, 2, 43, 86
Divisors of 663
List of positive integer divisors of 663 that divides 663 without a remainder.
1, 3, 13, 17, 39, 51, 221, 663
Greatest Common Divisior
We found the divisors of 225, 909, 86, 663 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 225, 909, 86, 663 is 1.
Therefore, GCD of numbers 225, 909, 86, 663 is 1
Given Input Data is 225, 909, 86, 663
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 909 is 3 x 3 x 101
Prime Factorization of 86 is 2 x 43
Prime Factorization of 663 is 3 x 13 x 17
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, 909) = 22725
GCD(225, 909) = ( 225 x 909 ) / 22725
GCD(225, 909) = 204525 / 22725
GCD(225, 909) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 86
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 86) = 774
GCD(9, 86) = ( 9 x 86 ) / 774
GCD(9, 86) = 774 / 774
GCD(9, 86) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 663
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 663) = 663
GCD(1, 663) = ( 1 x 663 ) / 663
GCD(1, 663) = 663 / 663
GCD(1, 663) = 1
GCD of 225, 909, 86, 663 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 225, 909, 86, 663?
GCD of 225, 909, 86, 663 is 1
2. Where do I get the detailed procedure to find GCD of 225, 909, 86, 663?
You can find a detailed procedure to find GCD of 225, 909, 86, 663 on our page.
3. How to find GCD of 225, 909, 86, 663 on a calculator?
You can find the GCD of 225, 909, 86, 663 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.