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, 113, 168, 396 i.e. 1 largest integer that divides all the numbers equally.
GCD of 993, 113, 168, 396 is 1
GCD(993, 113, 168, 396) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 993, 113, 168, 396 is 1
GCD(993, 113, 168, 396) = 1
Given Input numbers are 993, 113, 168, 396
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 113
List of positive integer divisors of 113 that divides 113 without a remainder.
1, 113
Divisors of 168
List of positive integer divisors of 168 that divides 168 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Divisors of 396
List of positive integer divisors of 396 that divides 396 without a remainder.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
Greatest Common Divisior
We found the divisors of 993, 113, 168, 396 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 993, 113, 168, 396 is 1.
Therefore, GCD of numbers 993, 113, 168, 396 is 1
Given Input Data is 993, 113, 168, 396
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 993 is 3 x 331
Prime Factorization of 113 is 113
Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7
Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11
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(993, 113) = 112209
GCD(993, 113) = ( 993 x 113 ) / 112209
GCD(993, 113) = 112209 / 112209
GCD(993, 113) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 168
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 168) = 168
GCD(1, 168) = ( 1 x 168 ) / 168
GCD(1, 168) = 168 / 168
GCD(1, 168) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 396
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 396) = 396
GCD(1, 396) = ( 1 x 396 ) / 396
GCD(1, 396) = 396 / 396
GCD(1, 396) = 1
GCD of 993, 113, 168, 396 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 993, 113, 168, 396?
GCD of 993, 113, 168, 396 is 1
2. Where do I get the detailed procedure to find GCD of 993, 113, 168, 396?
You can find a detailed procedure to find GCD of 993, 113, 168, 396 on our page.
3. How to find GCD of 993, 113, 168, 396 on a calculator?
You can find the GCD of 993, 113, 168, 396 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.