GCD of 468, 849, 512 Calculator

Given Input numbers are 468, 849, 512

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

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

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

Greatest Common Divisior

We found the divisors of 468, 849, 512 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 468, 849, 512 is 1.

Therefore, GCD of numbers 468, 849, 512 is 1

Given Input Data is 468, 849, 512

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

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

Prime Factorization of 849 is 3 x 283

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

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(468, 849) = 132444

GCD(468, 849) = ( 468 x 849 ) / 132444

GCD(468, 849) = 397332 / 132444

GCD(468, 849) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 512

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

LCM(3, 512) = 1536

GCD(3, 512) = ( 3 x 512 ) / 1536

GCD(3, 512) = 1536 / 1536

GCD(3, 512) = 1

GCD of 468, 849, 512 is 1

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1. What is the GCD of 468, 849, 512?

GCD of 468, 849, 512 is 1

2. Where do I get the detailed procedure to find GCD of 468, 849, 512?

You can find a detailed procedure to find GCD of 468, 849, 512 on our page.

3. How to find GCD of 468, 849, 512 on a calculator?

You can find the GCD of 468, 849, 512 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.