GCD of 174, 804, 200, 872 Calculator

Given Input numbers are 174, 804, 200, 872

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

Divisors of 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

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 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Greatest Common Divisior

We found the divisors of 174, 804, 200, 872 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 174, 804, 200, 872 is 2.

Therefore, GCD of numbers 174, 804, 200, 872 is 2

Given Input Data is 174, 804, 200, 872

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

Prime Factorization of 174 is 2 x 3 x 29

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

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

Prime Factorization of 872 is 2 x 2 x 2 x 109

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(174, 804) = 23316

GCD(174, 804) = ( 174 x 804 ) / 23316

GCD(174, 804) = 139896 / 23316

GCD(174, 804) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 200

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

LCM(6, 200) = 600

GCD(6, 200) = ( 6 x 200 ) / 600

GCD(6, 200) = 1200 / 600

GCD(6, 200) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 872

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

LCM(2, 872) = 872

GCD(2, 872) = ( 2 x 872 ) / 872

GCD(2, 872) = 1744 / 872

GCD(2, 872) = 2

GCD of 174, 804, 200, 872 is 2

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1. What is the GCD of 174, 804, 200, 872?

GCD of 174, 804, 200, 872 is 2

2. Where do I get the detailed procedure to find GCD of 174, 804, 200, 872?

You can find a detailed procedure to find GCD of 174, 804, 200, 872 on our page.

3. How to find GCD of 174, 804, 200, 872 on a calculator?

You can find the GCD of 174, 804, 200, 872 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.