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 843, 330, 13, 923 i.e. 1 largest integer that divides all the numbers equally.
GCD of 843, 330, 13, 923 is 1
GCD(843, 330, 13, 923) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 843, 330, 13, 923 is 1
GCD(843, 330, 13, 923) = 1
Given Input numbers are 843, 330, 13, 923
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 843
List of positive integer divisors of 843 that divides 843 without a remainder.
1, 3, 281, 843
Divisors of 330
List of positive integer divisors of 330 that divides 330 without a remainder.
1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
Divisors of 13
List of positive integer divisors of 13 that divides 13 without a remainder.
1, 13
Divisors of 923
List of positive integer divisors of 923 that divides 923 without a remainder.
1, 13, 71, 923
Greatest Common Divisior
We found the divisors of 843, 330, 13, 923 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 843, 330, 13, 923 is 1.
Therefore, GCD of numbers 843, 330, 13, 923 is 1
Given Input Data is 843, 330, 13, 923
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 843 is 3 x 281
Prime Factorization of 330 is 2 x 3 x 5 x 11
Prime Factorization of 13 is 13
Prime Factorization of 923 is 13 x 71
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(843, 330) = 92730
GCD(843, 330) = ( 843 x 330 ) / 92730
GCD(843, 330) = 278190 / 92730
GCD(843, 330) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 13
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 13) = 39
GCD(3, 13) = ( 3 x 13 ) / 39
GCD(3, 13) = 39 / 39
GCD(3, 13) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 923
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 923) = 923
GCD(1, 923) = ( 1 x 923 ) / 923
GCD(1, 923) = 923 / 923
GCD(1, 923) = 1
GCD of 843, 330, 13, 923 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 843, 330, 13, 923?
GCD of 843, 330, 13, 923 is 1
2. Where do I get the detailed procedure to find GCD of 843, 330, 13, 923?
You can find a detailed procedure to find GCD of 843, 330, 13, 923 on our page.
3. How to find GCD of 843, 330, 13, 923 on a calculator?
You can find the GCD of 843, 330, 13, 923 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.