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 999, 930, 342, 394 i.e. 1 largest integer that divides all the numbers equally.
GCD of 999, 930, 342, 394 is 1
GCD(999, 930, 342, 394) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 999, 930, 342, 394 is 1
GCD(999, 930, 342, 394) = 1
Given Input numbers are 999, 930, 342, 394
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 999
List of positive integer divisors of 999 that divides 999 without a remainder.
1, 3, 9, 27, 37, 111, 333, 999
Divisors of 930
List of positive integer divisors of 930 that divides 930 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
Divisors of 342
List of positive integer divisors of 342 that divides 342 without a remainder.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
Divisors of 394
List of positive integer divisors of 394 that divides 394 without a remainder.
1, 2, 197, 394
Greatest Common Divisior
We found the divisors of 999, 930, 342, 394 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 999, 930, 342, 394 is 1.
Therefore, GCD of numbers 999, 930, 342, 394 is 1
Given Input Data is 999, 930, 342, 394
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 999 is 3 x 3 x 3 x 37
Prime Factorization of 930 is 2 x 3 x 5 x 31
Prime Factorization of 342 is 2 x 3 x 3 x 19
Prime Factorization of 394 is 2 x 197
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(999, 930) = 309690
GCD(999, 930) = ( 999 x 930 ) / 309690
GCD(999, 930) = 929070 / 309690
GCD(999, 930) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 342
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 342) = 342
GCD(3, 342) = ( 3 x 342 ) / 342
GCD(3, 342) = 1026 / 342
GCD(3, 342) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 394
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 394) = 1182
GCD(3, 394) = ( 3 x 394 ) / 1182
GCD(3, 394) = 1182 / 1182
GCD(3, 394) = 1
GCD of 999, 930, 342, 394 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 999, 930, 342, 394?
GCD of 999, 930, 342, 394 is 1
2. Where do I get the detailed procedure to find GCD of 999, 930, 342, 394?
You can find a detailed procedure to find GCD of 999, 930, 342, 394 on our page.
3. How to find GCD of 999, 930, 342, 394 on a calculator?
You can find the GCD of 999, 930, 342, 394 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.