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 319, 317, 174, 674 i.e. 1 largest integer that divides all the numbers equally.
GCD of 319, 317, 174, 674 is 1
GCD(319, 317, 174, 674) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 319, 317, 174, 674 is 1
GCD(319, 317, 174, 674) = 1
Given Input numbers are 319, 317, 174, 674
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 319
List of positive integer divisors of 319 that divides 319 without a remainder.
1, 11, 29, 319
Divisors of 317
List of positive integer divisors of 317 that divides 317 without a remainder.
1, 317
Divisors of 174
List of positive integer divisors of 174 that divides 174 without a remainder.
1, 2, 3, 6, 29, 58, 87, 174
Divisors of 674
List of positive integer divisors of 674 that divides 674 without a remainder.
1, 2, 337, 674
Greatest Common Divisior
We found the divisors of 319, 317, 174, 674 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 319, 317, 174, 674 is 1.
Therefore, GCD of numbers 319, 317, 174, 674 is 1
Given Input Data is 319, 317, 174, 674
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 319 is 11 x 29
Prime Factorization of 317 is 317
Prime Factorization of 174 is 2 x 3 x 29
Prime Factorization of 674 is 2 x 337
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(319, 317) = 101123
GCD(319, 317) = ( 319 x 317 ) / 101123
GCD(319, 317) = 101123 / 101123
GCD(319, 317) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 174
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 174) = 174
GCD(1, 174) = ( 1 x 174 ) / 174
GCD(1, 174) = 174 / 174
GCD(1, 174) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 674
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 674) = 674
GCD(1, 674) = ( 1 x 674 ) / 674
GCD(1, 674) = 674 / 674
GCD(1, 674) = 1
GCD of 319, 317, 174, 674 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 319, 317, 174, 674?
GCD of 319, 317, 174, 674 is 1
2. Where do I get the detailed procedure to find GCD of 319, 317, 174, 674?
You can find a detailed procedure to find GCD of 319, 317, 174, 674 on our page.
3. How to find GCD of 319, 317, 174, 674 on a calculator?
You can find the GCD of 319, 317, 174, 674 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.