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 192, 676, 999 i.e. 1 largest integer that divides all the numbers equally.
GCD of 192, 676, 999 is 1
GCD(192, 676, 999) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 192, 676, 999 is 1
GCD(192, 676, 999) = 1
Given Input numbers are 192, 676, 999
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 192
List of positive integer divisors of 192 that divides 192 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
Divisors of 676
List of positive integer divisors of 676 that divides 676 without a remainder.
1, 2, 4, 13, 26, 52, 169, 338, 676
Divisors of 999
List of positive integer divisors of 999 that divides 999 without a remainder.
1, 3, 9, 27, 37, 111, 333, 999
Greatest Common Divisior
We found the divisors of 192, 676, 999 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 192, 676, 999 is 1.
Therefore, GCD of numbers 192, 676, 999 is 1
Given Input Data is 192, 676, 999
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 192 is 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 676 is 2 x 2 x 13 x 13
Prime Factorization of 999 is 3 x 3 x 3 x 37
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(192, 676) = 32448
GCD(192, 676) = ( 192 x 676 ) / 32448
GCD(192, 676) = 129792 / 32448
GCD(192, 676) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 999
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 999) = 3996
GCD(4, 999) = ( 4 x 999 ) / 3996
GCD(4, 999) = 3996 / 3996
GCD(4, 999) = 1
GCD of 192, 676, 999 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 192, 676, 999?
GCD of 192, 676, 999 is 1
2. Where do I get the detailed procedure to find GCD of 192, 676, 999?
You can find a detailed procedure to find GCD of 192, 676, 999 on our page.
3. How to find GCD of 192, 676, 999 on a calculator?
You can find the GCD of 192, 676, 999 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.