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, 699, 997, 238 i.e. 1 largest integer that divides all the numbers equally.
GCD of 983, 699, 997, 238 is 1
GCD(983, 699, 997, 238) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 983, 699, 997, 238 is 1
GCD(983, 699, 997, 238) = 1
Given Input numbers are 983, 699, 997, 238
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 699
List of positive integer divisors of 699 that divides 699 without a remainder.
1, 3, 233, 699
Divisors of 997
List of positive integer divisors of 997 that divides 997 without a remainder.
1, 997
Divisors of 238
List of positive integer divisors of 238 that divides 238 without a remainder.
1, 2, 7, 14, 17, 34, 119, 238
Greatest Common Divisior
We found the divisors of 983, 699, 997, 238 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 983, 699, 997, 238 is 1.
Therefore, GCD of numbers 983, 699, 997, 238 is 1
Given Input Data is 983, 699, 997, 238
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 983 is 983
Prime Factorization of 699 is 3 x 233
Prime Factorization of 997 is 997
Prime Factorization of 238 is 2 x 7 x 17
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, 699) = 687117
GCD(983, 699) = ( 983 x 699 ) / 687117
GCD(983, 699) = 687117 / 687117
GCD(983, 699) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 997
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 997) = 997
GCD(1, 997) = ( 1 x 997 ) / 997
GCD(1, 997) = 997 / 997
GCD(1, 997) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 238
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 238) = 238
GCD(1, 238) = ( 1 x 238 ) / 238
GCD(1, 238) = 238 / 238
GCD(1, 238) = 1
GCD of 983, 699, 997, 238 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 983, 699, 997, 238?
GCD of 983, 699, 997, 238 is 1
2. Where do I get the detailed procedure to find GCD of 983, 699, 997, 238?
You can find a detailed procedure to find GCD of 983, 699, 997, 238 on our page.
3. How to find GCD of 983, 699, 997, 238 on a calculator?
You can find the GCD of 983, 699, 997, 238 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.