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 509, 933, 844, 984 i.e. 1 largest integer that divides all the numbers equally.
GCD of 509, 933, 844, 984 is 1
GCD(509, 933, 844, 984) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 509, 933, 844, 984 is 1
GCD(509, 933, 844, 984) = 1
Given Input numbers are 509, 933, 844, 984
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 509
List of positive integer divisors of 509 that divides 509 without a remainder.
1, 509
Divisors of 933
List of positive integer divisors of 933 that divides 933 without a remainder.
1, 3, 311, 933
Divisors of 844
List of positive integer divisors of 844 that divides 844 without a remainder.
1, 2, 4, 211, 422, 844
Divisors of 984
List of positive integer divisors of 984 that divides 984 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
Greatest Common Divisior
We found the divisors of 509, 933, 844, 984 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 509, 933, 844, 984 is 1.
Therefore, GCD of numbers 509, 933, 844, 984 is 1
Given Input Data is 509, 933, 844, 984
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 509 is 509
Prime Factorization of 933 is 3 x 311
Prime Factorization of 844 is 2 x 2 x 211
Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41
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(509, 933) = 474897
GCD(509, 933) = ( 509 x 933 ) / 474897
GCD(509, 933) = 474897 / 474897
GCD(509, 933) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 844
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 844) = 844
GCD(1, 844) = ( 1 x 844 ) / 844
GCD(1, 844) = 844 / 844
GCD(1, 844) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 984
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 984) = 984
GCD(1, 984) = ( 1 x 984 ) / 984
GCD(1, 984) = 984 / 984
GCD(1, 984) = 1
GCD of 509, 933, 844, 984 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 509, 933, 844, 984?
GCD of 509, 933, 844, 984 is 1
2. Where do I get the detailed procedure to find GCD of 509, 933, 844, 984?
You can find a detailed procedure to find GCD of 509, 933, 844, 984 on our page.
3. How to find GCD of 509, 933, 844, 984 on a calculator?
You can find the GCD of 509, 933, 844, 984 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.