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, 234, 93, 343 i.e. 1 largest integer that divides all the numbers equally.
GCD of 999, 234, 93, 343 is 1
GCD(999, 234, 93, 343) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 999, 234, 93, 343 is 1
GCD(999, 234, 93, 343) = 1
Given Input numbers are 999, 234, 93, 343
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 234
List of positive integer divisors of 234 that divides 234 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
Divisors of 93
List of positive integer divisors of 93 that divides 93 without a remainder.
1, 3, 31, 93
Divisors of 343
List of positive integer divisors of 343 that divides 343 without a remainder.
1, 7, 49, 343
Greatest Common Divisior
We found the divisors of 999, 234, 93, 343 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 999, 234, 93, 343 is 1.
Therefore, GCD of numbers 999, 234, 93, 343 is 1
Given Input Data is 999, 234, 93, 343
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 234 is 2 x 3 x 3 x 13
Prime Factorization of 93 is 3 x 31
Prime Factorization of 343 is 7 x 7 x 7
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, 234) = 25974
GCD(999, 234) = ( 999 x 234 ) / 25974
GCD(999, 234) = 233766 / 25974
GCD(999, 234) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 93
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 93) = 279
GCD(9, 93) = ( 9 x 93 ) / 279
GCD(9, 93) = 837 / 279
GCD(9, 93) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 343
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 343) = 1029
GCD(3, 343) = ( 3 x 343 ) / 1029
GCD(3, 343) = 1029 / 1029
GCD(3, 343) = 1
GCD of 999, 234, 93, 343 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 999, 234, 93, 343?
GCD of 999, 234, 93, 343 is 1
2. Where do I get the detailed procedure to find GCD of 999, 234, 93, 343?
You can find a detailed procedure to find GCD of 999, 234, 93, 343 on our page.
3. How to find GCD of 999, 234, 93, 343 on a calculator?
You can find the GCD of 999, 234, 93, 343 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.