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 682, 323, 646, 499 i.e. 1 largest integer that divides all the numbers equally.
GCD of 682, 323, 646, 499 is 1
GCD(682, 323, 646, 499) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 682, 323, 646, 499 is 1
GCD(682, 323, 646, 499) = 1
Given Input numbers are 682, 323, 646, 499
To find the GCD of numbers using factoring list out all the divisors of each number
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 323
List of positive integer divisors of 323 that divides 323 without a remainder.
1, 17, 19, 323
Divisors of 646
List of positive integer divisors of 646 that divides 646 without a remainder.
1, 2, 17, 19, 34, 38, 323, 646
Divisors of 499
List of positive integer divisors of 499 that divides 499 without a remainder.
1, 499
Greatest Common Divisior
We found the divisors of 682, 323, 646, 499 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 682, 323, 646, 499 is 1.
Therefore, GCD of numbers 682, 323, 646, 499 is 1
Given Input Data is 682, 323, 646, 499
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 682 is 2 x 11 x 31
Prime Factorization of 323 is 17 x 19
Prime Factorization of 646 is 2 x 17 x 19
Prime Factorization of 499 is 499
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(682, 323) = 220286
GCD(682, 323) = ( 682 x 323 ) / 220286
GCD(682, 323) = 220286 / 220286
GCD(682, 323) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 646
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 646) = 646
GCD(1, 646) = ( 1 x 646 ) / 646
GCD(1, 646) = 646 / 646
GCD(1, 646) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 499
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 499) = 499
GCD(1, 499) = ( 1 x 499 ) / 499
GCD(1, 499) = 499 / 499
GCD(1, 499) = 1
GCD of 682, 323, 646, 499 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 682, 323, 646, 499?
GCD of 682, 323, 646, 499 is 1
2. Where do I get the detailed procedure to find GCD of 682, 323, 646, 499?
You can find a detailed procedure to find GCD of 682, 323, 646, 499 on our page.
3. How to find GCD of 682, 323, 646, 499 on a calculator?
You can find the GCD of 682, 323, 646, 499 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.