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 328, 982, 665, 689 i.e. 1 largest integer that divides all the numbers equally.
GCD of 328, 982, 665, 689 is 1
GCD(328, 982, 665, 689) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 328, 982, 665, 689 is 1
GCD(328, 982, 665, 689) = 1
Given Input numbers are 328, 982, 665, 689
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 328
List of positive integer divisors of 328 that divides 328 without a remainder.
1, 2, 4, 8, 41, 82, 164, 328
Divisors of 982
List of positive integer divisors of 982 that divides 982 without a remainder.
1, 2, 491, 982
Divisors of 665
List of positive integer divisors of 665 that divides 665 without a remainder.
1, 5, 7, 19, 35, 95, 133, 665
Divisors of 689
List of positive integer divisors of 689 that divides 689 without a remainder.
1, 13, 53, 689
Greatest Common Divisior
We found the divisors of 328, 982, 665, 689 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 328, 982, 665, 689 is 1.
Therefore, GCD of numbers 328, 982, 665, 689 is 1
Given Input Data is 328, 982, 665, 689
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 328 is 2 x 2 x 2 x 41
Prime Factorization of 982 is 2 x 491
Prime Factorization of 665 is 5 x 7 x 19
Prime Factorization of 689 is 13 x 53
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(328, 982) = 161048
GCD(328, 982) = ( 328 x 982 ) / 161048
GCD(328, 982) = 322096 / 161048
GCD(328, 982) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 665
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 665) = 1330
GCD(2, 665) = ( 2 x 665 ) / 1330
GCD(2, 665) = 1330 / 1330
GCD(2, 665) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 689
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 689) = 689
GCD(1, 689) = ( 1 x 689 ) / 689
GCD(1, 689) = 689 / 689
GCD(1, 689) = 1
GCD of 328, 982, 665, 689 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 328, 982, 665, 689?
GCD of 328, 982, 665, 689 is 1
2. Where do I get the detailed procedure to find GCD of 328, 982, 665, 689?
You can find a detailed procedure to find GCD of 328, 982, 665, 689 on our page.
3. How to find GCD of 328, 982, 665, 689 on a calculator?
You can find the GCD of 328, 982, 665, 689 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.