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 963, 507, 784, 326 i.e. 1 largest integer that divides all the numbers equally.
GCD of 963, 507, 784, 326 is 1
GCD(963, 507, 784, 326) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 963, 507, 784, 326 is 1
GCD(963, 507, 784, 326) = 1
Given Input numbers are 963, 507, 784, 326
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 963
List of positive integer divisors of 963 that divides 963 without a remainder.
1, 3, 9, 107, 321, 963
Divisors of 507
List of positive integer divisors of 507 that divides 507 without a remainder.
1, 3, 13, 39, 169, 507
Divisors of 784
List of positive integer divisors of 784 that divides 784 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
Divisors of 326
List of positive integer divisors of 326 that divides 326 without a remainder.
1, 2, 163, 326
Greatest Common Divisior
We found the divisors of 963, 507, 784, 326 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 963, 507, 784, 326 is 1.
Therefore, GCD of numbers 963, 507, 784, 326 is 1
Given Input Data is 963, 507, 784, 326
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 963 is 3 x 3 x 107
Prime Factorization of 507 is 3 x 13 x 13
Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7
Prime Factorization of 326 is 2 x 163
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(963, 507) = 162747
GCD(963, 507) = ( 963 x 507 ) / 162747
GCD(963, 507) = 488241 / 162747
GCD(963, 507) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 784
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 784) = 2352
GCD(3, 784) = ( 3 x 784 ) / 2352
GCD(3, 784) = 2352 / 2352
GCD(3, 784) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 326
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 326) = 326
GCD(1, 326) = ( 1 x 326 ) / 326
GCD(1, 326) = 326 / 326
GCD(1, 326) = 1
GCD of 963, 507, 784, 326 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 963, 507, 784, 326?
GCD of 963, 507, 784, 326 is 1
2. Where do I get the detailed procedure to find GCD of 963, 507, 784, 326?
You can find a detailed procedure to find GCD of 963, 507, 784, 326 on our page.
3. How to find GCD of 963, 507, 784, 326 on a calculator?
You can find the GCD of 963, 507, 784, 326 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.