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 994, 509, 405, 331 i.e. 1 largest integer that divides all the numbers equally.
GCD of 994, 509, 405, 331 is 1
GCD(994, 509, 405, 331) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 994, 509, 405, 331 is 1
GCD(994, 509, 405, 331) = 1
Given Input numbers are 994, 509, 405, 331
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 994
List of positive integer divisors of 994 that divides 994 without a remainder.
1, 2, 7, 14, 71, 142, 497, 994
Divisors of 509
List of positive integer divisors of 509 that divides 509 without a remainder.
1, 509
Divisors of 405
List of positive integer divisors of 405 that divides 405 without a remainder.
1, 3, 5, 9, 15, 27, 45, 81, 135, 405
Divisors of 331
List of positive integer divisors of 331 that divides 331 without a remainder.
1, 331
Greatest Common Divisior
We found the divisors of 994, 509, 405, 331 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 994, 509, 405, 331 is 1.
Therefore, GCD of numbers 994, 509, 405, 331 is 1
Given Input Data is 994, 509, 405, 331
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 994 is 2 x 7 x 71
Prime Factorization of 509 is 509
Prime Factorization of 405 is 3 x 3 x 3 x 3 x 5
Prime Factorization of 331 is 331
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(994, 509) = 505946
GCD(994, 509) = ( 994 x 509 ) / 505946
GCD(994, 509) = 505946 / 505946
GCD(994, 509) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 405
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 405) = 405
GCD(1, 405) = ( 1 x 405 ) / 405
GCD(1, 405) = 405 / 405
GCD(1, 405) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 331
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 331) = 331
GCD(1, 331) = ( 1 x 331 ) / 331
GCD(1, 331) = 331 / 331
GCD(1, 331) = 1
GCD of 994, 509, 405, 331 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 994, 509, 405, 331?
GCD of 994, 509, 405, 331 is 1
2. Where do I get the detailed procedure to find GCD of 994, 509, 405, 331?
You can find a detailed procedure to find GCD of 994, 509, 405, 331 on our page.
3. How to find GCD of 994, 509, 405, 331 on a calculator?
You can find the GCD of 994, 509, 405, 331 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.