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, 310, 305, 216 i.e. 1 largest integer that divides all the numbers equally.
GCD of 993, 310, 305, 216 is 1
GCD(993, 310, 305, 216) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 993, 310, 305, 216 is 1
GCD(993, 310, 305, 216) = 1
Given Input numbers are 993, 310, 305, 216
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 310
List of positive integer divisors of 310 that divides 310 without a remainder.
1, 2, 5, 10, 31, 62, 155, 310
Divisors of 305
List of positive integer divisors of 305 that divides 305 without a remainder.
1, 5, 61, 305
Divisors of 216
List of positive integer divisors of 216 that divides 216 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
Greatest Common Divisior
We found the divisors of 993, 310, 305, 216 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 993, 310, 305, 216 is 1.
Therefore, GCD of numbers 993, 310, 305, 216 is 1
Given Input Data is 993, 310, 305, 216
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 993 is 3 x 331
Prime Factorization of 310 is 2 x 5 x 31
Prime Factorization of 305 is 5 x 61
Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3
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, 310) = 307830
GCD(993, 310) = ( 993 x 310 ) / 307830
GCD(993, 310) = 307830 / 307830
GCD(993, 310) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 305
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 305) = 305
GCD(1, 305) = ( 1 x 305 ) / 305
GCD(1, 305) = 305 / 305
GCD(1, 305) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 216
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 216) = 216
GCD(1, 216) = ( 1 x 216 ) / 216
GCD(1, 216) = 216 / 216
GCD(1, 216) = 1
GCD of 993, 310, 305, 216 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 993, 310, 305, 216?
GCD of 993, 310, 305, 216 is 1
2. Where do I get the detailed procedure to find GCD of 993, 310, 305, 216?
You can find a detailed procedure to find GCD of 993, 310, 305, 216 on our page.
3. How to find GCD of 993, 310, 305, 216 on a calculator?
You can find the GCD of 993, 310, 305, 216 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.