GCD of 108, 928, 111 Calculator
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, 928, 111 i.e. 1 largest integer that divides all the numbers equally.
GCD of 108, 928, 111 is 1
GCD(108, 928, 111) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 108, 928, 111 is 1
GCD(108, 928, 111) = 1
GCDof 108,928,111 is 1
Given Input numbers are 108, 928, 111
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 928
List of positive integer divisors of 928 that divides 928 without a remainder.
1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
Divisors of 111
List of positive integer divisors of 111 that divides 111 without a remainder.
1, 3, 37, 111
Greatest Common Divisior
We found the divisors of 108, 928, 111 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 108, 928, 111 is 1.
Therefore, GCD of numbers 108, 928, 111 is 1
Given Input Data is 108, 928, 111
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 928 is 2 x 2 x 2 x 2 x 2 x 29
Prime Factorization of 111 is 3 x 37
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 108, 928, 111 using LCM Formula
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, 928) = 25056
GCD(108, 928) = ( 108 x 928 ) / 25056
GCD(108, 928) = 100224 / 25056
GCD(108, 928) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 111
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 111) = 444
GCD(4, 111) = ( 4 x 111 ) / 444
GCD(4, 111) = 444 / 444
GCD(4, 111) = 1
GCD of 108, 928, 111 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 108, 928, 111
1. What is the GCD of 108, 928, 111?
GCD of 108, 928, 111 is 1
2. Where do I get the detailed procedure to find GCD of 108, 928, 111?
You can find a detailed procedure to find GCD of 108, 928, 111 on our page.
3. How to find GCD of 108, 928, 111 on a calculator?
You can find the GCD of 108, 928, 111 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.
