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 513, 326, 43, 396 i.e. 1 largest integer that divides all the numbers equally.
GCD of 513, 326, 43, 396 is 1
GCD(513, 326, 43, 396) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 513, 326, 43, 396 is 1
GCD(513, 326, 43, 396) = 1
Given Input numbers are 513, 326, 43, 396
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 513
List of positive integer divisors of 513 that divides 513 without a remainder.
1, 3, 9, 19, 27, 57, 171, 513
Divisors of 326
List of positive integer divisors of 326 that divides 326 without a remainder.
1, 2, 163, 326
Divisors of 43
List of positive integer divisors of 43 that divides 43 without a remainder.
1, 43
Divisors of 396
List of positive integer divisors of 396 that divides 396 without a remainder.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
Greatest Common Divisior
We found the divisors of 513, 326, 43, 396 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 513, 326, 43, 396 is 1.
Therefore, GCD of numbers 513, 326, 43, 396 is 1
Given Input Data is 513, 326, 43, 396
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 513 is 3 x 3 x 3 x 19
Prime Factorization of 326 is 2 x 163
Prime Factorization of 43 is 43
Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11
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(513, 326) = 167238
GCD(513, 326) = ( 513 x 326 ) / 167238
GCD(513, 326) = 167238 / 167238
GCD(513, 326) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 43
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 43) = 43
GCD(1, 43) = ( 1 x 43 ) / 43
GCD(1, 43) = 43 / 43
GCD(1, 43) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 396
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 396) = 396
GCD(1, 396) = ( 1 x 396 ) / 396
GCD(1, 396) = 396 / 396
GCD(1, 396) = 1
GCD of 513, 326, 43, 396 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 513, 326, 43, 396?
GCD of 513, 326, 43, 396 is 1
2. Where do I get the detailed procedure to find GCD of 513, 326, 43, 396?
You can find a detailed procedure to find GCD of 513, 326, 43, 396 on our page.
3. How to find GCD of 513, 326, 43, 396 on a calculator?
You can find the GCD of 513, 326, 43, 396 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.