GCD of 808, 828, 90, 886 Calculator

Given Input numbers are 808, 828, 90, 886

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

Divisors of 808

List of positive integer divisors of 808 that divides 808 without a remainder.

1, 2, 4, 8, 101, 202, 404, 808

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 886

List of positive integer divisors of 886 that divides 886 without a remainder.

1, 2, 443, 886

Greatest Common Divisior

We found the divisors of 808, 828, 90, 886 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 808, 828, 90, 886 is 2.

Therefore, GCD of numbers 808, 828, 90, 886 is 2

Given Input Data is 808, 828, 90, 886

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

Prime Factorization of 808 is 2 x 2 x 2 x 101

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 886 is 2 x 443

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(808, 828) = 167256

GCD(808, 828) = ( 808 x 828 ) / 167256

GCD(808, 828) = 669024 / 167256

GCD(808, 828) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 90

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

LCM(4, 90) = 180

GCD(4, 90) = ( 4 x 90 ) / 180

GCD(4, 90) = 360 / 180

GCD(4, 90) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 886

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

LCM(2, 886) = 886

GCD(2, 886) = ( 2 x 886 ) / 886

GCD(2, 886) = 1772 / 886

GCD(2, 886) = 2

GCD of 808, 828, 90, 886 is 2

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1. What is the GCD of 808, 828, 90, 886?

GCD of 808, 828, 90, 886 is 2

2. Where do I get the detailed procedure to find GCD of 808, 828, 90, 886?

You can find a detailed procedure to find GCD of 808, 828, 90, 886 on our page.

3. How to find GCD of 808, 828, 90, 886 on a calculator?

You can find the GCD of 808, 828, 90, 886 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.