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 309, 844, 515, 550 i.e. 1 largest integer that divides all the numbers equally.
GCD of 309, 844, 515, 550 is 1
GCD(309, 844, 515, 550) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 309, 844, 515, 550 is 1
GCD(309, 844, 515, 550) = 1
Given Input numbers are 309, 844, 515, 550
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 309
List of positive integer divisors of 309 that divides 309 without a remainder.
1, 3, 103, 309
Divisors of 844
List of positive integer divisors of 844 that divides 844 without a remainder.
1, 2, 4, 211, 422, 844
Divisors of 515
List of positive integer divisors of 515 that divides 515 without a remainder.
1, 5, 103, 515
Divisors of 550
List of positive integer divisors of 550 that divides 550 without a remainder.
1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
Greatest Common Divisior
We found the divisors of 309, 844, 515, 550 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 309, 844, 515, 550 is 1.
Therefore, GCD of numbers 309, 844, 515, 550 is 1
Given Input Data is 309, 844, 515, 550
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 309 is 3 x 103
Prime Factorization of 844 is 2 x 2 x 211
Prime Factorization of 515 is 5 x 103
Prime Factorization of 550 is 2 x 5 x 5 x 11
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(309, 844) = 260796
GCD(309, 844) = ( 309 x 844 ) / 260796
GCD(309, 844) = 260796 / 260796
GCD(309, 844) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 515
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 515) = 515
GCD(1, 515) = ( 1 x 515 ) / 515
GCD(1, 515) = 515 / 515
GCD(1, 515) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 550
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 550) = 550
GCD(1, 550) = ( 1 x 550 ) / 550
GCD(1, 550) = 550 / 550
GCD(1, 550) = 1
GCD of 309, 844, 515, 550 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 309, 844, 515, 550?
GCD of 309, 844, 515, 550 is 1
2. Where do I get the detailed procedure to find GCD of 309, 844, 515, 550?
You can find a detailed procedure to find GCD of 309, 844, 515, 550 on our page.
3. How to find GCD of 309, 844, 515, 550 on a calculator?
You can find the GCD of 309, 844, 515, 550 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.