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 974, 324, 326, 499 i.e. 1 largest integer that divides all the numbers equally.
GCD of 974, 324, 326, 499 is 1
GCD(974, 324, 326, 499) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 974, 324, 326, 499 is 1
GCD(974, 324, 326, 499) = 1
Given Input numbers are 974, 324, 326, 499
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 974
List of positive integer divisors of 974 that divides 974 without a remainder.
1, 2, 487, 974
Divisors of 324
List of positive integer divisors of 324 that divides 324 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
Divisors of 326
List of positive integer divisors of 326 that divides 326 without a remainder.
1, 2, 163, 326
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 974, 324, 326, 499 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 974, 324, 326, 499 is 1.
Therefore, GCD of numbers 974, 324, 326, 499 is 1
Given Input Data is 974, 324, 326, 499
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 974 is 2 x 487
Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3
Prime Factorization of 326 is 2 x 163
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(974, 324) = 157788
GCD(974, 324) = ( 974 x 324 ) / 157788
GCD(974, 324) = 315576 / 157788
GCD(974, 324) = 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 499
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 499) = 998
GCD(2, 499) = ( 2 x 499 ) / 998
GCD(2, 499) = 998 / 998
GCD(2, 499) = 1
GCD of 974, 324, 326, 499 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 974, 324, 326, 499?
GCD of 974, 324, 326, 499 is 1
2. Where do I get the detailed procedure to find GCD of 974, 324, 326, 499?
You can find a detailed procedure to find GCD of 974, 324, 326, 499 on our page.
3. How to find GCD of 974, 324, 326, 499 on a calculator?
You can find the GCD of 974, 324, 326, 499 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.