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 65, 443, 309, 831 i.e. 1 largest integer that divides all the numbers equally.
GCD of 65, 443, 309, 831 is 1
GCD(65, 443, 309, 831) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 65, 443, 309, 831 is 1
GCD(65, 443, 309, 831) = 1
Given Input numbers are 65, 443, 309, 831
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 65
List of positive integer divisors of 65 that divides 65 without a remainder.
1, 5, 13, 65
Divisors of 443
List of positive integer divisors of 443 that divides 443 without a remainder.
1, 443
Divisors of 309
List of positive integer divisors of 309 that divides 309 without a remainder.
1, 3, 103, 309
Divisors of 831
List of positive integer divisors of 831 that divides 831 without a remainder.
1, 3, 277, 831
Greatest Common Divisior
We found the divisors of 65, 443, 309, 831 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 65, 443, 309, 831 is 1.
Therefore, GCD of numbers 65, 443, 309, 831 is 1
Given Input Data is 65, 443, 309, 831
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 65 is 5 x 13
Prime Factorization of 443 is 443
Prime Factorization of 309 is 3 x 103
Prime Factorization of 831 is 3 x 277
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(65, 443) = 28795
GCD(65, 443) = ( 65 x 443 ) / 28795
GCD(65, 443) = 28795 / 28795
GCD(65, 443) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 309
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 309) = 309
GCD(1, 309) = ( 1 x 309 ) / 309
GCD(1, 309) = 309 / 309
GCD(1, 309) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 831
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 831) = 831
GCD(1, 831) = ( 1 x 831 ) / 831
GCD(1, 831) = 831 / 831
GCD(1, 831) = 1
GCD of 65, 443, 309, 831 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 65, 443, 309, 831?
GCD of 65, 443, 309, 831 is 1
2. Where do I get the detailed procedure to find GCD of 65, 443, 309, 831?
You can find a detailed procedure to find GCD of 65, 443, 309, 831 on our page.
3. How to find GCD of 65, 443, 309, 831 on a calculator?
You can find the GCD of 65, 443, 309, 831 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.