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 666, 225, 40 i.e. 1 largest integer that divides all the numbers equally.
GCD of 666, 225, 40 is 1
GCD(666, 225, 40) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 666, 225, 40 is 1
GCD(666, 225, 40) = 1
Given Input numbers are 666, 225, 40
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 666
List of positive integer divisors of 666 that divides 666 without a remainder.
1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
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 40
List of positive integer divisors of 40 that divides 40 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40
Greatest Common Divisior
We found the divisors of 666, 225, 40 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 666, 225, 40 is 1.
Therefore, GCD of numbers 666, 225, 40 is 1
Given Input Data is 666, 225, 40
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 666 is 2 x 3 x 3 x 37
Prime Factorization of 225 is 3 x 3 x 5 x 5
Prime Factorization of 40 is 2 x 2 x 2 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(666, 225) = 16650
GCD(666, 225) = ( 666 x 225 ) / 16650
GCD(666, 225) = 149850 / 16650
GCD(666, 225) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 40
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 40) = 360
GCD(9, 40) = ( 9 x 40 ) / 360
GCD(9, 40) = 360 / 360
GCD(9, 40) = 1
GCD of 666, 225, 40 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 666, 225, 40?
GCD of 666, 225, 40 is 1
2. Where do I get the detailed procedure to find GCD of 666, 225, 40?
You can find a detailed procedure to find GCD of 666, 225, 40 on our page.
3. How to find GCD of 666, 225, 40 on a calculator?
You can find the GCD of 666, 225, 40 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.