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, 291, 483, 361 i.e. 1 largest integer that divides all the numbers equally.
GCD of 993, 291, 483, 361 is 1
GCD(993, 291, 483, 361) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 993, 291, 483, 361 is 1
GCD(993, 291, 483, 361) = 1
Given Input numbers are 993, 291, 483, 361
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 291
List of positive integer divisors of 291 that divides 291 without a remainder.
1, 3, 97, 291
Divisors of 483
List of positive integer divisors of 483 that divides 483 without a remainder.
1, 3, 7, 21, 23, 69, 161, 483
Divisors of 361
List of positive integer divisors of 361 that divides 361 without a remainder.
1, 19, 361
Greatest Common Divisior
We found the divisors of 993, 291, 483, 361 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 993, 291, 483, 361 is 1.
Therefore, GCD of numbers 993, 291, 483, 361 is 1
Given Input Data is 993, 291, 483, 361
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 993 is 3 x 331
Prime Factorization of 291 is 3 x 97
Prime Factorization of 483 is 3 x 7 x 23
Prime Factorization of 361 is 19 x 19
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, 291) = 96321
GCD(993, 291) = ( 993 x 291 ) / 96321
GCD(993, 291) = 288963 / 96321
GCD(993, 291) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 483
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 483) = 483
GCD(3, 483) = ( 3 x 483 ) / 483
GCD(3, 483) = 1449 / 483
GCD(3, 483) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 361
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 361) = 1083
GCD(3, 361) = ( 3 x 361 ) / 1083
GCD(3, 361) = 1083 / 1083
GCD(3, 361) = 1
GCD of 993, 291, 483, 361 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 993, 291, 483, 361?
GCD of 993, 291, 483, 361 is 1
2. Where do I get the detailed procedure to find GCD of 993, 291, 483, 361?
You can find a detailed procedure to find GCD of 993, 291, 483, 361 on our page.
3. How to find GCD of 993, 291, 483, 361 on a calculator?
You can find the GCD of 993, 291, 483, 361 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.