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, 488, 324, 230 i.e. 2 largest integer that divides all the numbers equally.
GCD of 326, 488, 324, 230 is 2
GCD(326, 488, 324, 230) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 326, 488, 324, 230 is 2
GCD(326, 488, 324, 230) = 2
Given Input numbers are 326, 488, 324, 230
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 488
List of positive integer divisors of 488 that divides 488 without a remainder.
1, 2, 4, 8, 61, 122, 244, 488
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 230
List of positive integer divisors of 230 that divides 230 without a remainder.
1, 2, 5, 10, 23, 46, 115, 230
Greatest Common Divisior
We found the divisors of 326, 488, 324, 230 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 326, 488, 324, 230 is 2.
Therefore, GCD of numbers 326, 488, 324, 230 is 2
Given Input Data is 326, 488, 324, 230
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 326 is 2 x 163
Prime Factorization of 488 is 2 x 2 x 2 x 61
Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3
Prime Factorization of 230 is 2 x 5 x 23
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, 488) = 79544
GCD(326, 488) = ( 326 x 488 ) / 79544
GCD(326, 488) = 159088 / 79544
GCD(326, 488) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 324
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 324) = 324
GCD(2, 324) = ( 2 x 324 ) / 324
GCD(2, 324) = 648 / 324
GCD(2, 324) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 230
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 230) = 230
GCD(2, 230) = ( 2 x 230 ) / 230
GCD(2, 230) = 460 / 230
GCD(2, 230) = 2
GCD of 326, 488, 324, 230 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 326, 488, 324, 230?
GCD of 326, 488, 324, 230 is 2
2. Where do I get the detailed procedure to find GCD of 326, 488, 324, 230?
You can find a detailed procedure to find GCD of 326, 488, 324, 230 on our page.
3. How to find GCD of 326, 488, 324, 230 on a calculator?
You can find the GCD of 326, 488, 324, 230 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.