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 318, 401, 82, 676 i.e. 1 largest integer that divides all the numbers equally.
GCD of 318, 401, 82, 676 is 1
GCD(318, 401, 82, 676) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 318, 401, 82, 676 is 1
GCD(318, 401, 82, 676) = 1
Given Input numbers are 318, 401, 82, 676
To find the GCD of numbers using factoring list out all the divisors of each number
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 401
List of positive integer divisors of 401 that divides 401 without a remainder.
1, 401
Divisors of 82
List of positive integer divisors of 82 that divides 82 without a remainder.
1, 2, 41, 82
Divisors of 676
List of positive integer divisors of 676 that divides 676 without a remainder.
1, 2, 4, 13, 26, 52, 169, 338, 676
Greatest Common Divisior
We found the divisors of 318, 401, 82, 676 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 318, 401, 82, 676 is 1.
Therefore, GCD of numbers 318, 401, 82, 676 is 1
Given Input Data is 318, 401, 82, 676
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 318 is 2 x 3 x 53
Prime Factorization of 401 is 401
Prime Factorization of 82 is 2 x 41
Prime Factorization of 676 is 2 x 2 x 13 x 13
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(318, 401) = 127518
GCD(318, 401) = ( 318 x 401 ) / 127518
GCD(318, 401) = 127518 / 127518
GCD(318, 401) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 82
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 82) = 82
GCD(1, 82) = ( 1 x 82 ) / 82
GCD(1, 82) = 82 / 82
GCD(1, 82) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 676
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 676) = 676
GCD(1, 676) = ( 1 x 676 ) / 676
GCD(1, 676) = 676 / 676
GCD(1, 676) = 1
GCD of 318, 401, 82, 676 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 318, 401, 82, 676?
GCD of 318, 401, 82, 676 is 1
2. Where do I get the detailed procedure to find GCD of 318, 401, 82, 676?
You can find a detailed procedure to find GCD of 318, 401, 82, 676 on our page.
3. How to find GCD of 318, 401, 82, 676 on a calculator?
You can find the GCD of 318, 401, 82, 676 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.