GCD of 576, 507, 99, 466 Calculator

Given Input numbers are 576, 507, 99, 466

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

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

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 466

List of positive integer divisors of 466 that divides 466 without a remainder.

1, 2, 233, 466

Greatest Common Divisior

We found the divisors of 576, 507, 99, 466 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 576, 507, 99, 466 is 1.

Therefore, GCD of numbers 576, 507, 99, 466 is 1

Given Input Data is 576, 507, 99, 466

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

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

Prime Factorization of 507 is 3 x 13 x 13

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 466 is 2 x 233

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(576, 507) = 97344

GCD(576, 507) = ( 576 x 507 ) / 97344

GCD(576, 507) = 292032 / 97344

GCD(576, 507) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 99

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

LCM(3, 99) = 99

GCD(3, 99) = ( 3 x 99 ) / 99

GCD(3, 99) = 297 / 99

GCD(3, 99) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 466

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

LCM(3, 466) = 1398

GCD(3, 466) = ( 3 x 466 ) / 1398

GCD(3, 466) = 1398 / 1398

GCD(3, 466) = 1

GCD of 576, 507, 99, 466 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 711, 688, 32, 473
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1. What is the GCD of 576, 507, 99, 466?

GCD of 576, 507, 99, 466 is 1

2. Where do I get the detailed procedure to find GCD of 576, 507, 99, 466?

You can find a detailed procedure to find GCD of 576, 507, 99, 466 on our page.

3. How to find GCD of 576, 507, 99, 466 on a calculator?

You can find the GCD of 576, 507, 99, 466 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.