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, 454, 671, 681 i.e. 1 largest integer that divides all the numbers equally.
GCD of 317, 454, 671, 681 is 1
GCD(317, 454, 671, 681) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 317, 454, 671, 681 is 1
GCD(317, 454, 671, 681) = 1
Given Input numbers are 317, 454, 671, 681
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 454
List of positive integer divisors of 454 that divides 454 without a remainder.
1, 2, 227, 454
Divisors of 671
List of positive integer divisors of 671 that divides 671 without a remainder.
1, 11, 61, 671
Divisors of 681
List of positive integer divisors of 681 that divides 681 without a remainder.
1, 3, 227, 681
Greatest Common Divisior
We found the divisors of 317, 454, 671, 681 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 317, 454, 671, 681 is 1.
Therefore, GCD of numbers 317, 454, 671, 681 is 1
Given Input Data is 317, 454, 671, 681
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 317 is 317
Prime Factorization of 454 is 2 x 227
Prime Factorization of 671 is 11 x 61
Prime Factorization of 681 is 3 x 227
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, 454) = 143918
GCD(317, 454) = ( 317 x 454 ) / 143918
GCD(317, 454) = 143918 / 143918
GCD(317, 454) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 671
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 671) = 671
GCD(1, 671) = ( 1 x 671 ) / 671
GCD(1, 671) = 671 / 671
GCD(1, 671) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 681
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 681) = 681
GCD(1, 681) = ( 1 x 681 ) / 681
GCD(1, 681) = 681 / 681
GCD(1, 681) = 1
GCD of 317, 454, 671, 681 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 317, 454, 671, 681?
GCD of 317, 454, 671, 681 is 1
2. Where do I get the detailed procedure to find GCD of 317, 454, 671, 681?
You can find a detailed procedure to find GCD of 317, 454, 671, 681 on our page.
3. How to find GCD of 317, 454, 671, 681 on a calculator?
You can find the GCD of 317, 454, 671, 681 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.