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, 624, 45, 484 i.e. 1 largest integer that divides all the numbers equally.
GCD of 509, 624, 45, 484 is 1
GCD(509, 624, 45, 484) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 509, 624, 45, 484 is 1
GCD(509, 624, 45, 484) = 1
Given Input numbers are 509, 624, 45, 484
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 624
List of positive integer divisors of 624 that divides 624 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
Divisors of 45
List of positive integer divisors of 45 that divides 45 without a remainder.
1, 3, 5, 9, 15, 45
Divisors of 484
List of positive integer divisors of 484 that divides 484 without a remainder.
1, 2, 4, 11, 22, 44, 121, 242, 484
Greatest Common Divisior
We found the divisors of 509, 624, 45, 484 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 509, 624, 45, 484 is 1.
Therefore, GCD of numbers 509, 624, 45, 484 is 1
Given Input Data is 509, 624, 45, 484
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 509 is 509
Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13
Prime Factorization of 45 is 3 x 3 x 5
Prime Factorization of 484 is 2 x 2 x 11 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(509, 624) = 317616
GCD(509, 624) = ( 509 x 624 ) / 317616
GCD(509, 624) = 317616 / 317616
GCD(509, 624) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 45
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 45) = 45
GCD(1, 45) = ( 1 x 45 ) / 45
GCD(1, 45) = 45 / 45
GCD(1, 45) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 484
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 484) = 484
GCD(1, 484) = ( 1 x 484 ) / 484
GCD(1, 484) = 484 / 484
GCD(1, 484) = 1
GCD of 509, 624, 45, 484 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 509, 624, 45, 484?
GCD of 509, 624, 45, 484 is 1
2. Where do I get the detailed procedure to find GCD of 509, 624, 45, 484?
You can find a detailed procedure to find GCD of 509, 624, 45, 484 on our page.
3. How to find GCD of 509, 624, 45, 484 on a calculator?
You can find the GCD of 509, 624, 45, 484 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.