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, 609, 89, 798 i.e. 1 largest integer that divides all the numbers equally.
GCD of 983, 609, 89, 798 is 1
GCD(983, 609, 89, 798) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 983, 609, 89, 798 is 1
GCD(983, 609, 89, 798) = 1
Given Input numbers are 983, 609, 89, 798
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 609
List of positive integer divisors of 609 that divides 609 without a remainder.
1, 3, 7, 21, 29, 87, 203, 609
Divisors of 89
List of positive integer divisors of 89 that divides 89 without a remainder.
1, 89
Divisors of 798
List of positive integer divisors of 798 that divides 798 without a remainder.
1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
Greatest Common Divisior
We found the divisors of 983, 609, 89, 798 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 983, 609, 89, 798 is 1.
Therefore, GCD of numbers 983, 609, 89, 798 is 1
Given Input Data is 983, 609, 89, 798
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 983 is 983
Prime Factorization of 609 is 3 x 7 x 29
Prime Factorization of 89 is 89
Prime Factorization of 798 is 2 x 3 x 7 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(983, 609) = 598647
GCD(983, 609) = ( 983 x 609 ) / 598647
GCD(983, 609) = 598647 / 598647
GCD(983, 609) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 89
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 89) = 89
GCD(1, 89) = ( 1 x 89 ) / 89
GCD(1, 89) = 89 / 89
GCD(1, 89) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 798
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 798) = 798
GCD(1, 798) = ( 1 x 798 ) / 798
GCD(1, 798) = 798 / 798
GCD(1, 798) = 1
GCD of 983, 609, 89, 798 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 983, 609, 89, 798?
GCD of 983, 609, 89, 798 is 1
2. Where do I get the detailed procedure to find GCD of 983, 609, 89, 798?
You can find a detailed procedure to find GCD of 983, 609, 89, 798 on our page.
3. How to find GCD of 983, 609, 89, 798 on a calculator?
You can find the GCD of 983, 609, 89, 798 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.