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 317, 112, 43, 683 i.e. 1 largest integer that divides all the numbers equally.
GCD of 317, 112, 43, 683 is 1
GCD(317, 112, 43, 683) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 317, 112, 43, 683 is 1
GCD(317, 112, 43, 683) = 1
Given Input numbers are 317, 112, 43, 683
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 317
List of positive integer divisors of 317 that divides 317 without a remainder.
1, 317
Divisors of 112
List of positive integer divisors of 112 that divides 112 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Divisors of 43
List of positive integer divisors of 43 that divides 43 without a remainder.
1, 43
Divisors of 683
List of positive integer divisors of 683 that divides 683 without a remainder.
1, 683
Greatest Common Divisior
We found the divisors of 317, 112, 43, 683 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 317, 112, 43, 683 is 1.
Therefore, GCD of numbers 317, 112, 43, 683 is 1
Given Input Data is 317, 112, 43, 683
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 317 is 317
Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7
Prime Factorization of 43 is 43
Prime Factorization of 683 is 683
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(317, 112) = 35504
GCD(317, 112) = ( 317 x 112 ) / 35504
GCD(317, 112) = 35504 / 35504
GCD(317, 112) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 43
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 43) = 43
GCD(1, 43) = ( 1 x 43 ) / 43
GCD(1, 43) = 43 / 43
GCD(1, 43) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 683
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 683) = 683
GCD(1, 683) = ( 1 x 683 ) / 683
GCD(1, 683) = 683 / 683
GCD(1, 683) = 1
GCD of 317, 112, 43, 683 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 317, 112, 43, 683?
GCD of 317, 112, 43, 683 is 1
2. Where do I get the detailed procedure to find GCD of 317, 112, 43, 683?
You can find a detailed procedure to find GCD of 317, 112, 43, 683 on our page.
3. How to find GCD of 317, 112, 43, 683 on a calculator?
You can find the GCD of 317, 112, 43, 683 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.