GCD of 553, 224, 321, 477 Calculator

Given Input numbers are 553, 224, 321, 477

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

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

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 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

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 553, 224, 321, 477 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 553, 224, 321, 477 is 1.

Therefore, GCD of numbers 553, 224, 321, 477 is 1

Given Input Data is 553, 224, 321, 477

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

Prime Factorization of 553 is 7 x 79

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

Prime Factorization of 321 is 3 x 107

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(553, 224) = 17696

GCD(553, 224) = ( 553 x 224 ) / 17696

GCD(553, 224) = 123872 / 17696

GCD(553, 224) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 321

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

LCM(7, 321) = 2247

GCD(7, 321) = ( 7 x 321 ) / 2247

GCD(7, 321) = 2247 / 2247

GCD(7, 321) = 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 553, 224, 321, 477 is 1

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• GCD of 770, 769, 582, 675
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• GCD of 402, 666, 589, 295

1. What is the GCD of 553, 224, 321, 477?

GCD of 553, 224, 321, 477 is 1

2. Where do I get the detailed procedure to find GCD of 553, 224, 321, 477?

You can find a detailed procedure to find GCD of 553, 224, 321, 477 on our page.

3. How to find GCD of 553, 224, 321, 477 on a calculator?

You can find the GCD of 553, 224, 321, 477 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.