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 664, 682, 326, 923 i.e. 1 largest integer that divides all the numbers equally.
GCD of 664, 682, 326, 923 is 1
GCD(664, 682, 326, 923) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 664, 682, 326, 923 is 1
GCD(664, 682, 326, 923) = 1
Given Input numbers are 664, 682, 326, 923
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 664
List of positive integer divisors of 664 that divides 664 without a remainder.
1, 2, 4, 8, 83, 166, 332, 664
Divisors of 682
List of positive integer divisors of 682 that divides 682 without a remainder.
1, 2, 11, 22, 31, 62, 341, 682
Divisors of 326
List of positive integer divisors of 326 that divides 326 without a remainder.
1, 2, 163, 326
Divisors of 923
List of positive integer divisors of 923 that divides 923 without a remainder.
1, 13, 71, 923
Greatest Common Divisior
We found the divisors of 664, 682, 326, 923 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 664, 682, 326, 923 is 1.
Therefore, GCD of numbers 664, 682, 326, 923 is 1
Given Input Data is 664, 682, 326, 923
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 664 is 2 x 2 x 2 x 83
Prime Factorization of 682 is 2 x 11 x 31
Prime Factorization of 326 is 2 x 163
Prime Factorization of 923 is 13 x 71
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(664, 682) = 226424
GCD(664, 682) = ( 664 x 682 ) / 226424
GCD(664, 682) = 452848 / 226424
GCD(664, 682) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 326
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 326) = 326
GCD(2, 326) = ( 2 x 326 ) / 326
GCD(2, 326) = 652 / 326
GCD(2, 326) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 923
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 923) = 1846
GCD(2, 923) = ( 2 x 923 ) / 1846
GCD(2, 923) = 1846 / 1846
GCD(2, 923) = 1
GCD of 664, 682, 326, 923 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 664, 682, 326, 923?
GCD of 664, 682, 326, 923 is 1
2. Where do I get the detailed procedure to find GCD of 664, 682, 326, 923?
You can find a detailed procedure to find GCD of 664, 682, 326, 923 on our page.
3. How to find GCD of 664, 682, 326, 923 on a calculator?
You can find the GCD of 664, 682, 326, 923 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.