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 326, 264, 788, 718 i.e. 2 largest integer that divides all the numbers equally.
GCD of 326, 264, 788, 718 is 2
GCD(326, 264, 788, 718) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 326, 264, 788, 718 is 2
GCD(326, 264, 788, 718) = 2
Given Input numbers are 326, 264, 788, 718
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 326
List of positive integer divisors of 326 that divides 326 without a remainder.
1, 2, 163, 326
Divisors of 264
List of positive integer divisors of 264 that divides 264 without a remainder.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
Divisors of 788
List of positive integer divisors of 788 that divides 788 without a remainder.
1, 2, 4, 197, 394, 788
Divisors of 718
List of positive integer divisors of 718 that divides 718 without a remainder.
1, 2, 359, 718
Greatest Common Divisior
We found the divisors of 326, 264, 788, 718 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 326, 264, 788, 718 is 2.
Therefore, GCD of numbers 326, 264, 788, 718 is 2
Given Input Data is 326, 264, 788, 718
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 326 is 2 x 163
Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11
Prime Factorization of 788 is 2 x 2 x 197
Prime Factorization of 718 is 2 x 359
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(326, 264) = 43032
GCD(326, 264) = ( 326 x 264 ) / 43032
GCD(326, 264) = 86064 / 43032
GCD(326, 264) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 788
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 788) = 788
GCD(2, 788) = ( 2 x 788 ) / 788
GCD(2, 788) = 1576 / 788
GCD(2, 788) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 718
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 718) = 718
GCD(2, 718) = ( 2 x 718 ) / 718
GCD(2, 718) = 1436 / 718
GCD(2, 718) = 2
GCD of 326, 264, 788, 718 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 326, 264, 788, 718?
GCD of 326, 264, 788, 718 is 2
2. Where do I get the detailed procedure to find GCD of 326, 264, 788, 718?
You can find a detailed procedure to find GCD of 326, 264, 788, 718 on our page.
3. How to find GCD of 326, 264, 788, 718 on a calculator?
You can find the GCD of 326, 264, 788, 718 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.