GCD of 993, 369, 363 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, 369, 363 i.e. 3 largest integer that divides all the numbers equally.
GCD of 993, 369, 363 is 3
GCD(993, 369, 363) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 993, 369, 363 is 3
GCD(993, 369, 363) = 3
GCDof 993,369,363 is 3
Given Input numbers are 993, 369, 363
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 369
List of positive integer divisors of 369 that divides 369 without a remainder.
1, 3, 9, 41, 123, 369
Divisors of 363
List of positive integer divisors of 363 that divides 363 without a remainder.
1, 3, 11, 33, 121, 363
Greatest Common Divisior
We found the divisors of 993, 369, 363 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 993, 369, 363 is 3.
Therefore, GCD of numbers 993, 369, 363 is 3
Given Input Data is 993, 369, 363
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 993 is 3 x 331
Prime Factorization of 369 is 3 x 3 x 41
Prime Factorization of 363 is 3 x 11 x 11
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
Finding GCD of 993, 369, 363 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, 369) = 122139
GCD(993, 369) = ( 993 x 369 ) / 122139
GCD(993, 369) = 366417 / 122139
GCD(993, 369) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 363
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 363) = 363
GCD(3, 363) = ( 3 x 363 ) / 363
GCD(3, 363) = 1089 / 363
GCD(3, 363) = 3
GCD of 993, 369, 363 is 3
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FAQs on GCD of numbers 993, 369, 363
1. What is the GCD of 993, 369, 363?
GCD of 993, 369, 363 is 3
2. Where do I get the detailed procedure to find GCD of 993, 369, 363?
You can find a detailed procedure to find GCD of 993, 369, 363 on our page.
3. How to find GCD of 993, 369, 363 on a calculator?
You can find the GCD of 993, 369, 363 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.