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 983, 620, 513, 598 i.e. 1 largest integer that divides all the numbers equally.
GCD of 983, 620, 513, 598 is 1
GCD(983, 620, 513, 598) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 983, 620, 513, 598 is 1
GCD(983, 620, 513, 598) = 1
Given Input numbers are 983, 620, 513, 598
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 983
List of positive integer divisors of 983 that divides 983 without a remainder.
1, 983
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
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 598
List of positive integer divisors of 598 that divides 598 without a remainder.
1, 2, 13, 23, 26, 46, 299, 598
Greatest Common Divisior
We found the divisors of 983, 620, 513, 598 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 983, 620, 513, 598 is 1.
Therefore, GCD of numbers 983, 620, 513, 598 is 1
Given Input Data is 983, 620, 513, 598
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 983 is 983
Prime Factorization of 620 is 2 x 2 x 5 x 31
Prime Factorization of 513 is 3 x 3 x 3 x 19
Prime Factorization of 598 is 2 x 13 x 23
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(983, 620) = 609460
GCD(983, 620) = ( 983 x 620 ) / 609460
GCD(983, 620) = 609460 / 609460
GCD(983, 620) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 513
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 513) = 513
GCD(1, 513) = ( 1 x 513 ) / 513
GCD(1, 513) = 513 / 513
GCD(1, 513) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 598
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 598) = 598
GCD(1, 598) = ( 1 x 598 ) / 598
GCD(1, 598) = 598 / 598
GCD(1, 598) = 1
GCD of 983, 620, 513, 598 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 983, 620, 513, 598?
GCD of 983, 620, 513, 598 is 1
2. Where do I get the detailed procedure to find GCD of 983, 620, 513, 598?
You can find a detailed procedure to find GCD of 983, 620, 513, 598 on our page.
3. How to find GCD of 983, 620, 513, 598 on a calculator?
You can find the GCD of 983, 620, 513, 598 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.