GCD of 816, 888, 490 Calculator

Given Input numbers are 816, 888, 490

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

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 888

List of positive integer divisors of 888 that divides 888 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

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

Greatest Common Divisior

We found the divisors of 816, 888, 490 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 816, 888, 490 is 2.

Therefore, GCD of numbers 816, 888, 490 is 2

Given Input Data is 816, 888, 490

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

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

Prime Factorization of 888 is 2 x 2 x 2 x 3 x 37

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

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(816, 888) = 30192

GCD(816, 888) = ( 816 x 888 ) / 30192

GCD(816, 888) = 724608 / 30192

GCD(816, 888) = 24

Step2:

Here we consider the GCD from the above i.e. 24 as first number and the next as 490

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

LCM(24, 490) = 5880

GCD(24, 490) = ( 24 x 490 ) / 5880

GCD(24, 490) = 11760 / 5880

GCD(24, 490) = 2

GCD of 816, 888, 490 is 2

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1. What is the GCD of 816, 888, 490?

GCD of 816, 888, 490 is 2

2. Where do I get the detailed procedure to find GCD of 816, 888, 490?

You can find a detailed procedure to find GCD of 816, 888, 490 on our page.

3. How to find GCD of 816, 888, 490 on a calculator?

You can find the GCD of 816, 888, 490 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.