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 513, 716, 409, 855 i.e. 1 largest integer that divides all the numbers equally.
GCD of 513, 716, 409, 855 is 1
GCD(513, 716, 409, 855) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 513, 716, 409, 855 is 1
GCD(513, 716, 409, 855) = 1
Given Input numbers are 513, 716, 409, 855
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 513
List of positive integer divisors of 513 that divides 513 without a remainder.
1, 3, 9, 19, 27, 57, 171, 513
Divisors of 716
List of positive integer divisors of 716 that divides 716 without a remainder.
1, 2, 4, 179, 358, 716
Divisors of 409
List of positive integer divisors of 409 that divides 409 without a remainder.
1, 409
Divisors of 855
List of positive integer divisors of 855 that divides 855 without a remainder.
1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
Greatest Common Divisior
We found the divisors of 513, 716, 409, 855 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 513, 716, 409, 855 is 1.
Therefore, GCD of numbers 513, 716, 409, 855 is 1
Given Input Data is 513, 716, 409, 855
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 513 is 3 x 3 x 3 x 19
Prime Factorization of 716 is 2 x 2 x 179
Prime Factorization of 409 is 409
Prime Factorization of 855 is 3 x 3 x 5 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(513, 716) = 367308
GCD(513, 716) = ( 513 x 716 ) / 367308
GCD(513, 716) = 367308 / 367308
GCD(513, 716) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 409
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 409) = 409
GCD(1, 409) = ( 1 x 409 ) / 409
GCD(1, 409) = 409 / 409
GCD(1, 409) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 855
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 855) = 855
GCD(1, 855) = ( 1 x 855 ) / 855
GCD(1, 855) = 855 / 855
GCD(1, 855) = 1
GCD of 513, 716, 409, 855 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 513, 716, 409, 855?
GCD of 513, 716, 409, 855 is 1
2. Where do I get the detailed procedure to find GCD of 513, 716, 409, 855?
You can find a detailed procedure to find GCD of 513, 716, 409, 855 on our page.
3. How to find GCD of 513, 716, 409, 855 on a calculator?
You can find the GCD of 513, 716, 409, 855 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.