GCD of 55, 512, 466, 224 Calculator

Given Input numbers are 55, 512, 466, 224

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

Divisors of 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

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 466

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

1, 2, 233, 466

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Greatest Common Divisior

We found the divisors of 55, 512, 466, 224 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 55, 512, 466, 224 is 1.

Therefore, GCD of numbers 55, 512, 466, 224 is 1

Given Input Data is 55, 512, 466, 224

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

Prime Factorization of 55 is 5 x 11

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 466 is 2 x 233

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

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(55, 512) = 28160

GCD(55, 512) = ( 55 x 512 ) / 28160

GCD(55, 512) = 28160 / 28160

GCD(55, 512) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 466

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

LCM(1, 466) = 466

GCD(1, 466) = ( 1 x 466 ) / 466

GCD(1, 466) = 466 / 466

GCD(1, 466) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 224

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

LCM(1, 224) = 224

GCD(1, 224) = ( 1 x 224 ) / 224

GCD(1, 224) = 224 / 224

GCD(1, 224) = 1

GCD of 55, 512, 466, 224 is 1

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• GCD of 39, 733, 265, 884
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1. What is the GCD of 55, 512, 466, 224?

GCD of 55, 512, 466, 224 is 1

2. Where do I get the detailed procedure to find GCD of 55, 512, 466, 224?

You can find a detailed procedure to find GCD of 55, 512, 466, 224 on our page.

3. How to find GCD of 55, 512, 466, 224 on a calculator?

You can find the GCD of 55, 512, 466, 224 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.