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, 680, 52, 314 i.e. 1 largest integer that divides all the numbers equally.
GCD of 509, 680, 52, 314 is 1
GCD(509, 680, 52, 314) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 509, 680, 52, 314 is 1
GCD(509, 680, 52, 314) = 1
Given Input numbers are 509, 680, 52, 314
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 680
List of positive integer divisors of 680 that divides 680 without a remainder.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
Divisors of 52
List of positive integer divisors of 52 that divides 52 without a remainder.
1, 2, 4, 13, 26, 52
Divisors of 314
List of positive integer divisors of 314 that divides 314 without a remainder.
1, 2, 157, 314
Greatest Common Divisior
We found the divisors of 509, 680, 52, 314 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 509, 680, 52, 314 is 1.
Therefore, GCD of numbers 509, 680, 52, 314 is 1
Given Input Data is 509, 680, 52, 314
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 509 is 509
Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17
Prime Factorization of 52 is 2 x 2 x 13
Prime Factorization of 314 is 2 x 157
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, 680) = 346120
GCD(509, 680) = ( 509 x 680 ) / 346120
GCD(509, 680) = 346120 / 346120
GCD(509, 680) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 52
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 52) = 52
GCD(1, 52) = ( 1 x 52 ) / 52
GCD(1, 52) = 52 / 52
GCD(1, 52) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 314
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 314) = 314
GCD(1, 314) = ( 1 x 314 ) / 314
GCD(1, 314) = 314 / 314
GCD(1, 314) = 1
GCD of 509, 680, 52, 314 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 509, 680, 52, 314?
GCD of 509, 680, 52, 314 is 1
2. Where do I get the detailed procedure to find GCD of 509, 680, 52, 314?
You can find a detailed procedure to find GCD of 509, 680, 52, 314 on our page.
3. How to find GCD of 509, 680, 52, 314 on a calculator?
You can find the GCD of 509, 680, 52, 314 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.