GCD of 498, 812, 816, 903 Calculator

Given Input numbers are 498, 812, 816, 903

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

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 812

List of positive integer divisors of 812 that divides 812 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Divisors of 816

List of positive integer divisors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 903

List of positive integer divisors of 903 that divides 903 without a remainder.

1, 3, 7, 21, 43, 129, 301, 903

Greatest Common Divisior

We found the divisors of 498, 812, 816, 903 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 498, 812, 816, 903 is 1.

Therefore, GCD of numbers 498, 812, 816, 903 is 1

Given Input Data is 498, 812, 816, 903

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

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 812 is 2 x 2 x 7 x 29

Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17

Prime Factorization of 903 is 3 x 7 x 43

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(498, 812) = 202188

GCD(498, 812) = ( 498 x 812 ) / 202188

GCD(498, 812) = 404376 / 202188

GCD(498, 812) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 816

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

LCM(2, 816) = 816

GCD(2, 816) = ( 2 x 816 ) / 816

GCD(2, 816) = 1632 / 816

GCD(2, 816) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 903

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

LCM(2, 903) = 1806

GCD(2, 903) = ( 2 x 903 ) / 1806

GCD(2, 903) = 1806 / 1806

GCD(2, 903) = 1

GCD of 498, 812, 816, 903 is 1

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1. What is the GCD of 498, 812, 816, 903?

GCD of 498, 812, 816, 903 is 1

2. Where do I get the detailed procedure to find GCD of 498, 812, 816, 903?

You can find a detailed procedure to find GCD of 498, 812, 816, 903 on our page.

3. How to find GCD of 498, 812, 816, 903 on a calculator?

You can find the GCD of 498, 812, 816, 903 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.