GCD of 513, 333, 438 Calculator

Given Input numbers are 513, 333, 438

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 333

List of positive integer divisors of 333 that divides 333 without a remainder.

1, 3, 9, 37, 111, 333

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Greatest Common Divisior

We found the divisors of 513, 333, 438 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 513, 333, 438 is 3.

Therefore, GCD of numbers 513, 333, 438 is 3

Given Input Data is 513, 333, 438

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 333 is 3 x 3 x 37

Prime Factorization of 438 is 2 x 3 x 73

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 333) = 18981

GCD(513, 333) = ( 513 x 333 ) / 18981

GCD(513, 333) = 170829 / 18981

GCD(513, 333) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 438

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(9, 438) = 1314

GCD(9, 438) = ( 9 x 438 ) / 1314

GCD(9, 438) = 3942 / 1314

GCD(9, 438) = 3

GCD of 513, 333, 438 is 3

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1. What is the GCD of 513, 333, 438?

GCD of 513, 333, 438 is 3

2. Where do I get the detailed procedure to find GCD of 513, 333, 438?

You can find a detailed procedure to find GCD of 513, 333, 438 on our page.

3. How to find GCD of 513, 333, 438 on a calculator?

You can find the GCD of 513, 333, 438 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.