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 323, 708, 82, 667 i.e. 1 largest integer that divides all the numbers equally.
GCD of 323, 708, 82, 667 is 1
GCD(323, 708, 82, 667) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 323, 708, 82, 667 is 1
GCD(323, 708, 82, 667) = 1
Given Input numbers are 323, 708, 82, 667
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 323
List of positive integer divisors of 323 that divides 323 without a remainder.
1, 17, 19, 323
Divisors of 708
List of positive integer divisors of 708 that divides 708 without a remainder.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
Divisors of 82
List of positive integer divisors of 82 that divides 82 without a remainder.
1, 2, 41, 82
Divisors of 667
List of positive integer divisors of 667 that divides 667 without a remainder.
1, 23, 29, 667
Greatest Common Divisior
We found the divisors of 323, 708, 82, 667 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 323, 708, 82, 667 is 1.
Therefore, GCD of numbers 323, 708, 82, 667 is 1
Given Input Data is 323, 708, 82, 667
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 323 is 17 x 19
Prime Factorization of 708 is 2 x 2 x 3 x 59
Prime Factorization of 82 is 2 x 41
Prime Factorization of 667 is 23 x 29
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(323, 708) = 228684
GCD(323, 708) = ( 323 x 708 ) / 228684
GCD(323, 708) = 228684 / 228684
GCD(323, 708) = 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 667
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 667) = 667
GCD(1, 667) = ( 1 x 667 ) / 667
GCD(1, 667) = 667 / 667
GCD(1, 667) = 1
GCD of 323, 708, 82, 667 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 323, 708, 82, 667?
GCD of 323, 708, 82, 667 is 1
2. Where do I get the detailed procedure to find GCD of 323, 708, 82, 667?
You can find a detailed procedure to find GCD of 323, 708, 82, 667 on our page.
3. How to find GCD of 323, 708, 82, 667 on a calculator?
You can find the GCD of 323, 708, 82, 667 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.