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 478, 509, 646 i.e. 1 largest integer that divides all the numbers equally.
GCD of 478, 509, 646 is 1
GCD(478, 509, 646) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 478, 509, 646 is 1
GCD(478, 509, 646) = 1
Given Input numbers are 478, 509, 646
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 478
List of positive integer divisors of 478 that divides 478 without a remainder.
1, 2, 239, 478
Divisors of 509
List of positive integer divisors of 509 that divides 509 without a remainder.
1, 509
Divisors of 646
List of positive integer divisors of 646 that divides 646 without a remainder.
1, 2, 17, 19, 34, 38, 323, 646
Greatest Common Divisior
We found the divisors of 478, 509, 646 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 478, 509, 646 is 1.
Therefore, GCD of numbers 478, 509, 646 is 1
Given Input Data is 478, 509, 646
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 478 is 2 x 239
Prime Factorization of 509 is 509
Prime Factorization of 646 is 2 x 17 x 19
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(478, 509) = 243302
GCD(478, 509) = ( 478 x 509 ) / 243302
GCD(478, 509) = 243302 / 243302
GCD(478, 509) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 646
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 646) = 646
GCD(1, 646) = ( 1 x 646 ) / 646
GCD(1, 646) = 646 / 646
GCD(1, 646) = 1
GCD of 478, 509, 646 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 478, 509, 646?
GCD of 478, 509, 646 is 1
2. Where do I get the detailed procedure to find GCD of 478, 509, 646?
You can find a detailed procedure to find GCD of 478, 509, 646 on our page.
3. How to find GCD of 478, 509, 646 on a calculator?
You can find the GCD of 478, 509, 646 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.