GCD of 518, 822, 906, 888 Calculator

Given Input numbers are 518, 822, 906, 888

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

Divisors of 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 822

List of positive integer divisors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

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

Greatest Common Divisior

We found the divisors of 518, 822, 906, 888 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 518, 822, 906, 888 is 2.

Therefore, GCD of numbers 518, 822, 906, 888 is 2

Given Input Data is 518, 822, 906, 888

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

Prime Factorization of 518 is 2 x 7 x 37

Prime Factorization of 822 is 2 x 3 x 137

Prime Factorization of 906 is 2 x 3 x 151

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

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(518, 822) = 212898

GCD(518, 822) = ( 518 x 822 ) / 212898

GCD(518, 822) = 425796 / 212898

GCD(518, 822) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 906

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

LCM(2, 906) = 906

GCD(2, 906) = ( 2 x 906 ) / 906

GCD(2, 906) = 1812 / 906

GCD(2, 906) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 888

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

LCM(2, 888) = 888

GCD(2, 888) = ( 2 x 888 ) / 888

GCD(2, 888) = 1776 / 888

GCD(2, 888) = 2

GCD of 518, 822, 906, 888 is 2

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1. What is the GCD of 518, 822, 906, 888?

GCD of 518, 822, 906, 888 is 2

2. Where do I get the detailed procedure to find GCD of 518, 822, 906, 888?

You can find a detailed procedure to find GCD of 518, 822, 906, 888 on our page.

3. How to find GCD of 518, 822, 906, 888 on a calculator?

You can find the GCD of 518, 822, 906, 888 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.