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 788, 326, 12, 486 i.e. 2 largest integer that divides all the numbers equally.
GCD of 788, 326, 12, 486 is 2
GCD(788, 326, 12, 486) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 788, 326, 12, 486 is 2
GCD(788, 326, 12, 486) = 2
Given Input numbers are 788, 326, 12, 486
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 788
List of positive integer divisors of 788 that divides 788 without a remainder.
1, 2, 4, 197, 394, 788
Divisors of 326
List of positive integer divisors of 326 that divides 326 without a remainder.
1, 2, 163, 326
Divisors of 12
List of positive integer divisors of 12 that divides 12 without a remainder.
1, 2, 3, 4, 6, 12
Divisors of 486
List of positive integer divisors of 486 that divides 486 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
Greatest Common Divisior
We found the divisors of 788, 326, 12, 486 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 788, 326, 12, 486 is 2.
Therefore, GCD of numbers 788, 326, 12, 486 is 2
Given Input Data is 788, 326, 12, 486
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 788 is 2 x 2 x 197
Prime Factorization of 326 is 2 x 163
Prime Factorization of 12 is 2 x 2 x 3
Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(788, 326) = 128444
GCD(788, 326) = ( 788 x 326 ) / 128444
GCD(788, 326) = 256888 / 128444
GCD(788, 326) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 12
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 12) = 12
GCD(2, 12) = ( 2 x 12 ) / 12
GCD(2, 12) = 24 / 12
GCD(2, 12) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 486
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 486) = 486
GCD(2, 486) = ( 2 x 486 ) / 486
GCD(2, 486) = 972 / 486
GCD(2, 486) = 2
GCD of 788, 326, 12, 486 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 788, 326, 12, 486?
GCD of 788, 326, 12, 486 is 2
2. Where do I get the detailed procedure to find GCD of 788, 326, 12, 486?
You can find a detailed procedure to find GCD of 788, 326, 12, 486 on our page.
3. How to find GCD of 788, 326, 12, 486 on a calculator?
You can find the GCD of 788, 326, 12, 486 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.