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, 864, 45 i.e. 9 largest integer that divides all the numbers equally.
GCD of 108, 864, 45 is 9
GCD(108, 864, 45) = 9
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 108, 864, 45 is 9
GCD(108, 864, 45) = 9
Given Input numbers are 108, 864, 45
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 864
List of positive integer divisors of 864 that divides 864 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
Divisors of 45
List of positive integer divisors of 45 that divides 45 without a remainder.
1, 3, 5, 9, 15, 45
Greatest Common Divisior
We found the divisors of 108, 864, 45 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 108, 864, 45 is 9.
Therefore, GCD of numbers 108, 864, 45 is 9
Given Input Data is 108, 864, 45
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 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 45 is 3 x 3 x 5
Highest common occurrences in the given inputs are 32
Multiplying them we get the GCD as 9
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, 864) = 864
GCD(108, 864) = ( 108 x 864 ) / 864
GCD(108, 864) = 93312 / 864
GCD(108, 864) = 108
Step2:
Here we consider the GCD from the above i.e. 108 as first number and the next as 45
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(108, 45) = 540
GCD(108, 45) = ( 108 x 45 ) / 540
GCD(108, 45) = 4860 / 540
GCD(108, 45) = 9
GCD of 108, 864, 45 is 9
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 108, 864, 45?
GCD of 108, 864, 45 is 9
2. Where do I get the detailed procedure to find GCD of 108, 864, 45?
You can find a detailed procedure to find GCD of 108, 864, 45 on our page.
3. How to find GCD of 108, 864, 45 on a calculator?
You can find the GCD of 108, 864, 45 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.