GCD of 498, 806, 496 Calculator

Given Input numbers are 498, 806, 496

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 806

List of positive integer divisors of 806 that divides 806 without a remainder.

1, 2, 13, 26, 31, 62, 403, 806

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Greatest Common Divisior

We found the divisors of 498, 806, 496 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 498, 806, 496 is 2.

Therefore, GCD of numbers 498, 806, 496 is 2

Given Input Data is 498, 806, 496

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 806 is 2 x 13 x 31

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 806) = 200694

GCD(498, 806) = ( 498 x 806 ) / 200694

GCD(498, 806) = 401388 / 200694

GCD(498, 806) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 496

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

LCM(2, 496) = 496

GCD(2, 496) = ( 2 x 496 ) / 496

GCD(2, 496) = 992 / 496

GCD(2, 496) = 2

GCD of 498, 806, 496 is 2

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1. What is the GCD of 498, 806, 496?

GCD of 498, 806, 496 is 2

2. Where do I get the detailed procedure to find GCD of 498, 806, 496?

You can find a detailed procedure to find GCD of 498, 806, 496 on our page.

3. How to find GCD of 498, 806, 496 on a calculator?

You can find the GCD of 498, 806, 496 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.