GCD of 804, 202, 884, 888 Calculator

Given Input numbers are 804, 202, 884, 888

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

Divisors of 804

List of positive integer divisors of 804 that divides 804 without a remainder.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Divisors of 202

List of positive integer divisors of 202 that divides 202 without a remainder.

1, 2, 101, 202

Divisors of 884

List of positive integer divisors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

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 804, 202, 884, 888 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 804, 202, 884, 888 is 2.

Therefore, GCD of numbers 804, 202, 884, 888 is 2

Given Input Data is 804, 202, 884, 888

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

Prime Factorization of 804 is 2 x 2 x 3 x 67

Prime Factorization of 202 is 2 x 101

Prime Factorization of 884 is 2 x 2 x 13 x 17

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(804, 202) = 81204

GCD(804, 202) = ( 804 x 202 ) / 81204

GCD(804, 202) = 162408 / 81204

GCD(804, 202) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 884

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

LCM(2, 884) = 884

GCD(2, 884) = ( 2 x 884 ) / 884

GCD(2, 884) = 1768 / 884

GCD(2, 884) = 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 804, 202, 884, 888 is 2

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1. What is the GCD of 804, 202, 884, 888?

GCD of 804, 202, 884, 888 is 2

2. Where do I get the detailed procedure to find GCD of 804, 202, 884, 888?

You can find a detailed procedure to find GCD of 804, 202, 884, 888 on our page.

3. How to find GCD of 804, 202, 884, 888 on a calculator?

You can find the GCD of 804, 202, 884, 888 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.