GCD of 224, 203, 500, 477 Calculator

Given Input numbers are 224, 203, 500, 477

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

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

Divisors of 203

List of positive integer divisors of 203 that divides 203 without a remainder.

1, 7, 29, 203

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 477

List of positive integer divisors of 477 that divides 477 without a remainder.

1, 3, 9, 53, 159, 477

Greatest Common Divisior

We found the divisors of 224, 203, 500, 477 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 224, 203, 500, 477 is 1.

Therefore, GCD of numbers 224, 203, 500, 477 is 1

Given Input Data is 224, 203, 500, 477

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

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

Prime Factorization of 203 is 7 x 29

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 477 is 3 x 3 x 53

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(224, 203) = 6496

GCD(224, 203) = ( 224 x 203 ) / 6496

GCD(224, 203) = 45472 / 6496

GCD(224, 203) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 500

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

LCM(7, 500) = 3500

GCD(7, 500) = ( 7 x 500 ) / 3500

GCD(7, 500) = 3500 / 3500

GCD(7, 500) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 477

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

LCM(1, 477) = 477

GCD(1, 477) = ( 1 x 477 ) / 477

GCD(1, 477) = 477 / 477

GCD(1, 477) = 1

GCD of 224, 203, 500, 477 is 1

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1. What is the GCD of 224, 203, 500, 477?

GCD of 224, 203, 500, 477 is 1

2. Where do I get the detailed procedure to find GCD of 224, 203, 500, 477?

You can find a detailed procedure to find GCD of 224, 203, 500, 477 on our page.

3. How to find GCD of 224, 203, 500, 477 on a calculator?

You can find the GCD of 224, 203, 500, 477 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.