GCD of 498, 506, 76, 473 Calculator

Given Input numbers are 498, 506, 76, 473

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 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 473

List of positive integer divisors of 473 that divides 473 without a remainder.

1, 11, 43, 473

Greatest Common Divisior

We found the divisors of 498, 506, 76, 473 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 498, 506, 76, 473 is 1.

Therefore, GCD of numbers 498, 506, 76, 473 is 1

Given Input Data is 498, 506, 76, 473

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 506 is 2 x 11 x 23

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 473 is 11 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, 506) = 125994

GCD(498, 506) = ( 498 x 506 ) / 125994

GCD(498, 506) = 251988 / 125994

GCD(498, 506) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 76

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

LCM(2, 76) = 76

GCD(2, 76) = ( 2 x 76 ) / 76

GCD(2, 76) = 152 / 76

GCD(2, 76) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 473

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

LCM(2, 473) = 946

GCD(2, 473) = ( 2 x 473 ) / 946

GCD(2, 473) = 946 / 946

GCD(2, 473) = 1

GCD of 498, 506, 76, 473 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 778, 573, 59, 906
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• GCD of 584, 358, 83, 324

1. What is the GCD of 498, 506, 76, 473?

GCD of 498, 506, 76, 473 is 1

2. Where do I get the detailed procedure to find GCD of 498, 506, 76, 473?

You can find a detailed procedure to find GCD of 498, 506, 76, 473 on our page.

3. How to find GCD of 498, 506, 76, 473 on a calculator?

You can find the GCD of 498, 506, 76, 473 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.