GCD of 512, 462, 133 Calculator

Given Input numbers are 512, 462, 133

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

Divisors of 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 133

List of positive integer divisors of 133 that divides 133 without a remainder.

1, 7, 19, 133

Greatest Common Divisior

We found the divisors of 512, 462, 133 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 512, 462, 133 is 1.

Therefore, GCD of numbers 512, 462, 133 is 1

Given Input Data is 512, 462, 133

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

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 462 is 2 x 3 x 7 x 11

Prime Factorization of 133 is 7 x 19

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(512, 462) = 118272

GCD(512, 462) = ( 512 x 462 ) / 118272

GCD(512, 462) = 236544 / 118272

GCD(512, 462) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 133

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

LCM(2, 133) = 266

GCD(2, 133) = ( 2 x 133 ) / 266

GCD(2, 133) = 266 / 266

GCD(2, 133) = 1

GCD of 512, 462, 133 is 1

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1. What is the GCD of 512, 462, 133?

GCD of 512, 462, 133 is 1

2. Where do I get the detailed procedure to find GCD of 512, 462, 133?

You can find a detailed procedure to find GCD of 512, 462, 133 on our page.

3. How to find GCD of 512, 462, 133 on a calculator?

You can find the GCD of 512, 462, 133 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.