GCD of 898, 224, 422, 503 Calculator

Given Input numbers are 898, 224, 422, 503

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

Divisors of 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

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 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Divisors of 503

List of positive integer divisors of 503 that divides 503 without a remainder.

1, 503

Greatest Common Divisior

We found the divisors of 898, 224, 422, 503 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 898, 224, 422, 503 is 1.

Therefore, GCD of numbers 898, 224, 422, 503 is 1

Given Input Data is 898, 224, 422, 503

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

Prime Factorization of 898 is 2 x 449

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

Prime Factorization of 422 is 2 x 211

Prime Factorization of 503 is 503

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(898, 224) = 100576

GCD(898, 224) = ( 898 x 224 ) / 100576

GCD(898, 224) = 201152 / 100576

GCD(898, 224) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 422

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

LCM(2, 422) = 422

GCD(2, 422) = ( 2 x 422 ) / 422

GCD(2, 422) = 844 / 422

GCD(2, 422) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 503

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

LCM(2, 503) = 1006

GCD(2, 503) = ( 2 x 503 ) / 1006

GCD(2, 503) = 1006 / 1006

GCD(2, 503) = 1

GCD of 898, 224, 422, 503 is 1

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1. What is the GCD of 898, 224, 422, 503?

GCD of 898, 224, 422, 503 is 1

2. Where do I get the detailed procedure to find GCD of 898, 224, 422, 503?

You can find a detailed procedure to find GCD of 898, 224, 422, 503 on our page.

3. How to find GCD of 898, 224, 422, 503 on a calculator?

You can find the GCD of 898, 224, 422, 503 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.