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 108, 204, 90, 451 i.e. 1 largest integer that divides all the numbers equally.
GCD of 108, 204, 90, 451 is 1
GCD(108, 204, 90, 451) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 108, 204, 90, 451 is 1
GCD(108, 204, 90, 451) = 1
Given Input numbers are 108, 204, 90, 451
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 108
List of positive integer divisors of 108 that divides 108 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 204
List of positive integer divisors of 204 that divides 204 without a remainder.
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
Divisors of 90
List of positive integer divisors of 90 that divides 90 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Divisors of 451
List of positive integer divisors of 451 that divides 451 without a remainder.
1, 11, 41, 451
Greatest Common Divisior
We found the divisors of 108, 204, 90, 451 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 108, 204, 90, 451 is 1.
Therefore, GCD of numbers 108, 204, 90, 451 is 1
Given Input Data is 108, 204, 90, 451
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3
Prime Factorization of 204 is 2 x 2 x 3 x 17
Prime Factorization of 90 is 2 x 3 x 3 x 5
Prime Factorization of 451 is 11 x 41
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(108, 204) = 1836
GCD(108, 204) = ( 108 x 204 ) / 1836
GCD(108, 204) = 22032 / 1836
GCD(108, 204) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 90
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 90) = 180
GCD(12, 90) = ( 12 x 90 ) / 180
GCD(12, 90) = 1080 / 180
GCD(12, 90) = 6
Step3:
Here we consider the GCD from the above i.e. 6 as first number and the next as 451
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 451) = 2706
GCD(6, 451) = ( 6 x 451 ) / 2706
GCD(6, 451) = 2706 / 2706
GCD(6, 451) = 1
GCD of 108, 204, 90, 451 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 108, 204, 90, 451?
GCD of 108, 204, 90, 451 is 1
2. Where do I get the detailed procedure to find GCD of 108, 204, 90, 451?
You can find a detailed procedure to find GCD of 108, 204, 90, 451 on our page.
3. How to find GCD of 108, 204, 90, 451 on a calculator?
You can find the GCD of 108, 204, 90, 451 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.