GCD of 993, 729, 328 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 993, 729, 328 i.e. 1 largest integer that divides all the numbers equally.
GCD of 993, 729, 328 is 1
GCD(993, 729, 328) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 993, 729, 328 is 1
GCD(993, 729, 328) = 1
GCDof 993,729,328 is 1
Given Input numbers are 993, 729, 328
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 993
List of positive integer divisors of 993 that divides 993 without a remainder.
1, 3, 331, 993
Divisors of 729
List of positive integer divisors of 729 that divides 729 without a remainder.
1, 3, 9, 27, 81, 243, 729
Divisors of 328
List of positive integer divisors of 328 that divides 328 without a remainder.
1, 2, 4, 8, 41, 82, 164, 328
Greatest Common Divisior
We found the divisors of 993, 729, 328 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 993, 729, 328 is 1.
Therefore, GCD of numbers 993, 729, 328 is 1
Given Input Data is 993, 729, 328
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 993 is 3 x 331
Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 328 is 2 x 2 x 2 x 41
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 993, 729, 328 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(993, 729) = 241299
GCD(993, 729) = ( 993 x 729 ) / 241299
GCD(993, 729) = 723897 / 241299
GCD(993, 729) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 328
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 328) = 984
GCD(3, 328) = ( 3 x 328 ) / 984
GCD(3, 328) = 984 / 984
GCD(3, 328) = 1
GCD of 993, 729, 328 is 1
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FAQs on GCD of numbers 993, 729, 328
1. What is the GCD of 993, 729, 328?
GCD of 993, 729, 328 is 1
2. Where do I get the detailed procedure to find GCD of 993, 729, 328?
You can find a detailed procedure to find GCD of 993, 729, 328 on our page.
3. How to find GCD of 993, 729, 328 on a calculator?
You can find the GCD of 993, 729, 328 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.