GCD of 498, 204, 42, 623 Calculator

Given Input numbers are 498, 204, 42, 623

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 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 623

List of positive integer divisors of 623 that divides 623 without a remainder.

1, 7, 89, 623

Greatest Common Divisior

We found the divisors of 498, 204, 42, 623 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 498, 204, 42, 623 is 1.

Therefore, GCD of numbers 498, 204, 42, 623 is 1

Given Input Data is 498, 204, 42, 623

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 204 is 2 x 2 x 3 x 17

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 623 is 7 x 89

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, 204) = 16932

GCD(498, 204) = ( 498 x 204 ) / 16932

GCD(498, 204) = 101592 / 16932

GCD(498, 204) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 42

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

LCM(6, 42) = 42

GCD(6, 42) = ( 6 x 42 ) / 42

GCD(6, 42) = 252 / 42

GCD(6, 42) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 623

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

LCM(6, 623) = 3738

GCD(6, 623) = ( 6 x 623 ) / 3738

GCD(6, 623) = 3738 / 3738

GCD(6, 623) = 1

GCD of 498, 204, 42, 623 is 1

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1. What is the GCD of 498, 204, 42, 623?

GCD of 498, 204, 42, 623 is 1

2. Where do I get the detailed procedure to find GCD of 498, 204, 42, 623?

You can find a detailed procedure to find GCD of 498, 204, 42, 623 on our page.

3. How to find GCD of 498, 204, 42, 623 on a calculator?

You can find the GCD of 498, 204, 42, 623 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.