GCD of 490, 582, 816 Calculator

Given Input numbers are 490, 582, 816

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

Divisors of 490

List of positive integer divisors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 582

List of positive integer divisors of 582 that divides 582 without a remainder.

1, 2, 3, 6, 97, 194, 291, 582

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

Greatest Common Divisior

We found the divisors of 490, 582, 816 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 490, 582, 816 is 2.

Therefore, GCD of numbers 490, 582, 816 is 2

Given Input Data is 490, 582, 816

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

Prime Factorization of 490 is 2 x 5 x 7 x 7

Prime Factorization of 582 is 2 x 3 x 97

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

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(490, 582) = 142590

GCD(490, 582) = ( 490 x 582 ) / 142590

GCD(490, 582) = 285180 / 142590

GCD(490, 582) = 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

GCD of 490, 582, 816 is 2

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1. What is the GCD of 490, 582, 816?

GCD of 490, 582, 816 is 2

2. Where do I get the detailed procedure to find GCD of 490, 582, 816?

You can find a detailed procedure to find GCD of 490, 582, 816 on our page.

3. How to find GCD of 490, 582, 816 on a calculator?

You can find the GCD of 490, 582, 816 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.