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 405, 403, 45, 108 i.e. 1 largest integer that divides all the numbers equally.
GCD of 405, 403, 45, 108 is 1
GCD(405, 403, 45, 108) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 405, 403, 45, 108 is 1
GCD(405, 403, 45, 108) = 1
Given Input numbers are 405, 403, 45, 108
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 405
List of positive integer divisors of 405 that divides 405 without a remainder.
1, 3, 5, 9, 15, 27, 45, 81, 135, 405
Divisors of 403
List of positive integer divisors of 403 that divides 403 without a remainder.
1, 13, 31, 403
Divisors of 45
List of positive integer divisors of 45 that divides 45 without a remainder.
1, 3, 5, 9, 15, 45
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
Greatest Common Divisior
We found the divisors of 405, 403, 45, 108 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 405, 403, 45, 108 is 1.
Therefore, GCD of numbers 405, 403, 45, 108 is 1
Given Input Data is 405, 403, 45, 108
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 405 is 3 x 3 x 3 x 3 x 5
Prime Factorization of 403 is 13 x 31
Prime Factorization of 45 is 3 x 3 x 5
Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3
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(405, 403) = 163215
GCD(405, 403) = ( 405 x 403 ) / 163215
GCD(405, 403) = 163215 / 163215
GCD(405, 403) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 45
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 45) = 45
GCD(1, 45) = ( 1 x 45 ) / 45
GCD(1, 45) = 45 / 45
GCD(1, 45) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 108
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 108) = 108
GCD(1, 108) = ( 1 x 108 ) / 108
GCD(1, 108) = 108 / 108
GCD(1, 108) = 1
GCD of 405, 403, 45, 108 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 405, 403, 45, 108?
GCD of 405, 403, 45, 108 is 1
2. Where do I get the detailed procedure to find GCD of 405, 403, 45, 108?
You can find a detailed procedure to find GCD of 405, 403, 45, 108 on our page.
3. How to find GCD of 405, 403, 45, 108 on a calculator?
You can find the GCD of 405, 403, 45, 108 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.