GCD of 819, 478, 458, 512 Calculator

Given Input numbers are 819, 478, 458, 512

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

Divisors of 819

List of positive integer divisors of 819 that divides 819 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Divisors of 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Divisors of 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

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 819, 478, 458, 512 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 819, 478, 458, 512 is 1.

Therefore, GCD of numbers 819, 478, 458, 512 is 1

Given Input Data is 819, 478, 458, 512

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

Prime Factorization of 819 is 3 x 3 x 7 x 13

Prime Factorization of 478 is 2 x 239

Prime Factorization of 458 is 2 x 229

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(819, 478) = 391482

GCD(819, 478) = ( 819 x 478 ) / 391482

GCD(819, 478) = 391482 / 391482

GCD(819, 478) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 458

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

LCM(1, 458) = 458

GCD(1, 458) = ( 1 x 458 ) / 458

GCD(1, 458) = 458 / 458

GCD(1, 458) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 512

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

LCM(1, 512) = 512

GCD(1, 512) = ( 1 x 512 ) / 512

GCD(1, 512) = 512 / 512

GCD(1, 512) = 1

GCD of 819, 478, 458, 512 is 1

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1. What is the GCD of 819, 478, 458, 512?

GCD of 819, 478, 458, 512 is 1

2. Where do I get the detailed procedure to find GCD of 819, 478, 458, 512?

You can find a detailed procedure to find GCD of 819, 478, 458, 512 on our page.

3. How to find GCD of 819, 478, 458, 512 on a calculator?

You can find the GCD of 819, 478, 458, 512 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.