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 238, 259, 582, 983 i.e. 1 largest integer that divides all the numbers equally.
GCD of 238, 259, 582, 983 is 1
GCD(238, 259, 582, 983) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 238, 259, 582, 983 is 1
GCD(238, 259, 582, 983) = 1
Given Input numbers are 238, 259, 582, 983
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 238
List of positive integer divisors of 238 that divides 238 without a remainder.
1, 2, 7, 14, 17, 34, 119, 238
Divisors of 259
List of positive integer divisors of 259 that divides 259 without a remainder.
1, 7, 37, 259
Divisors of 582
List of positive integer divisors of 582 that divides 582 without a remainder.
1, 2, 3, 6, 97, 194, 291, 582
Divisors of 983
List of positive integer divisors of 983 that divides 983 without a remainder.
1, 983
Greatest Common Divisior
We found the divisors of 238, 259, 582, 983 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 238, 259, 582, 983 is 1.
Therefore, GCD of numbers 238, 259, 582, 983 is 1
Given Input Data is 238, 259, 582, 983
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 238 is 2 x 7 x 17
Prime Factorization of 259 is 7 x 37
Prime Factorization of 582 is 2 x 3 x 97
Prime Factorization of 983 is 983
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(238, 259) = 8806
GCD(238, 259) = ( 238 x 259 ) / 8806
GCD(238, 259) = 61642 / 8806
GCD(238, 259) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 582
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 582) = 4074
GCD(7, 582) = ( 7 x 582 ) / 4074
GCD(7, 582) = 4074 / 4074
GCD(7, 582) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 983
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 983) = 983
GCD(1, 983) = ( 1 x 983 ) / 983
GCD(1, 983) = 983 / 983
GCD(1, 983) = 1
GCD of 238, 259, 582, 983 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 238, 259, 582, 983?
GCD of 238, 259, 582, 983 is 1
2. Where do I get the detailed procedure to find GCD of 238, 259, 582, 983?
You can find a detailed procedure to find GCD of 238, 259, 582, 983 on our page.
3. How to find GCD of 238, 259, 582, 983 on a calculator?
You can find the GCD of 238, 259, 582, 983 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.