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, 594, 287, 620 i.e. 1 largest integer that divides all the numbers equally.
GCD of 513, 594, 287, 620 is 1
GCD(513, 594, 287, 620) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 513, 594, 287, 620 is 1
GCD(513, 594, 287, 620) = 1
Given Input numbers are 513, 594, 287, 620
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 594
List of positive integer divisors of 594 that divides 594 without a remainder.
1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
Divisors of 287
List of positive integer divisors of 287 that divides 287 without a remainder.
1, 7, 41, 287
Divisors of 620
List of positive integer divisors of 620 that divides 620 without a remainder.
1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
Greatest Common Divisior
We found the divisors of 513, 594, 287, 620 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 513, 594, 287, 620 is 1.
Therefore, GCD of numbers 513, 594, 287, 620 is 1
Given Input Data is 513, 594, 287, 620
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 594 is 2 x 3 x 3 x 3 x 11
Prime Factorization of 287 is 7 x 41
Prime Factorization of 620 is 2 x 2 x 5 x 31
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, 594) = 11286
GCD(513, 594) = ( 513 x 594 ) / 11286
GCD(513, 594) = 304722 / 11286
GCD(513, 594) = 27
Step2:
Here we consider the GCD from the above i.e. 27 as first number and the next as 287
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(27, 287) = 7749
GCD(27, 287) = ( 27 x 287 ) / 7749
GCD(27, 287) = 7749 / 7749
GCD(27, 287) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 620
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 620) = 620
GCD(1, 620) = ( 1 x 620 ) / 620
GCD(1, 620) = 620 / 620
GCD(1, 620) = 1
GCD of 513, 594, 287, 620 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 513, 594, 287, 620?
GCD of 513, 594, 287, 620 is 1
2. Where do I get the detailed procedure to find GCD of 513, 594, 287, 620?
You can find a detailed procedure to find GCD of 513, 594, 287, 620 on our page.
3. How to find GCD of 513, 594, 287, 620 on a calculator?
You can find the GCD of 513, 594, 287, 620 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.