GCD of 387, 333, 486, 576 Calculator

Given Input numbers are 387, 333, 486, 576

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Divisors of 333

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

1, 3, 9, 37, 111, 333

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

Divisors of 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Greatest Common Divisior

We found the divisors of 387, 333, 486, 576 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 387, 333, 486, 576 is 9.

Therefore, GCD of numbers 387, 333, 486, 576 is 9

Given Input Data is 387, 333, 486, 576

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 387 is 3 x 3 x 43

Prime Factorization of 333 is 3 x 3 x 37

Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Highest common occurrences in the given inputs are 3²

Multiplying them we get the GCD as 9

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(387, 333) = 14319

GCD(387, 333) = ( 387 x 333 ) / 14319

GCD(387, 333) = 128871 / 14319

GCD(387, 333) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 486

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

LCM(9, 486) = 486

GCD(9, 486) = ( 9 x 486 ) / 486

GCD(9, 486) = 4374 / 486

GCD(9, 486) = 9

Step3:

Here we consider the GCD from the above i.e. 9 as first number and the next as 576

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

LCM(9, 576) = 576

GCD(9, 576) = ( 9 x 576 ) / 576

GCD(9, 576) = 5184 / 576

GCD(9, 576) = 9

GCD of 387, 333, 486, 576 is 9

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• GCD of 590, 396, 771, 169

1. What is the GCD of 387, 333, 486, 576?

GCD of 387, 333, 486, 576 is 9

2. Where do I get the detailed procedure to find GCD of 387, 333, 486, 576?

You can find a detailed procedure to find GCD of 387, 333, 486, 576 on our page.

3. How to find GCD of 387, 333, 486, 576 on a calculator?

You can find the GCD of 387, 333, 486, 576 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.