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 683, 318, 74, 634 i.e. 1 largest integer that divides all the numbers equally.
GCD of 683, 318, 74, 634 is 1
GCD(683, 318, 74, 634) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 683, 318, 74, 634 is 1
GCD(683, 318, 74, 634) = 1
Given Input numbers are 683, 318, 74, 634
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 683
List of positive integer divisors of 683 that divides 683 without a remainder.
1, 683
Divisors of 318
List of positive integer divisors of 318 that divides 318 without a remainder.
1, 2, 3, 6, 53, 106, 159, 318
Divisors of 74
List of positive integer divisors of 74 that divides 74 without a remainder.
1, 2, 37, 74
Divisors of 634
List of positive integer divisors of 634 that divides 634 without a remainder.
1, 2, 317, 634
Greatest Common Divisior
We found the divisors of 683, 318, 74, 634 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 683, 318, 74, 634 is 1.
Therefore, GCD of numbers 683, 318, 74, 634 is 1
Given Input Data is 683, 318, 74, 634
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 683 is 683
Prime Factorization of 318 is 2 x 3 x 53
Prime Factorization of 74 is 2 x 37
Prime Factorization of 634 is 2 x 317
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(683, 318) = 217194
GCD(683, 318) = ( 683 x 318 ) / 217194
GCD(683, 318) = 217194 / 217194
GCD(683, 318) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 74
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 74) = 74
GCD(1, 74) = ( 1 x 74 ) / 74
GCD(1, 74) = 74 / 74
GCD(1, 74) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 634
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 634) = 634
GCD(1, 634) = ( 1 x 634 ) / 634
GCD(1, 634) = 634 / 634
GCD(1, 634) = 1
GCD of 683, 318, 74, 634 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 683, 318, 74, 634?
GCD of 683, 318, 74, 634 is 1
2. Where do I get the detailed procedure to find GCD of 683, 318, 74, 634?
You can find a detailed procedure to find GCD of 683, 318, 74, 634 on our page.
3. How to find GCD of 683, 318, 74, 634 on a calculator?
You can find the GCD of 683, 318, 74, 634 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.