GCD of 200, 174, 480, 232 Calculator

Given Input numbers are 200, 174, 480, 232

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

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 174

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

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

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 232

List of positive integer divisors of 232 that divides 232 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232

Greatest Common Divisior

We found the divisors of 200, 174, 480, 232 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 200, 174, 480, 232 is 2.

Therefore, GCD of numbers 200, 174, 480, 232 is 2

Given Input Data is 200, 174, 480, 232

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

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

Prime Factorization of 174 is 2 x 3 x 29

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 232 is 2 x 2 x 2 x 29

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(200, 174) = 17400

GCD(200, 174) = ( 200 x 174 ) / 17400

GCD(200, 174) = 34800 / 17400

GCD(200, 174) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 480

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

LCM(2, 480) = 480

GCD(2, 480) = ( 2 x 480 ) / 480

GCD(2, 480) = 960 / 480

GCD(2, 480) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 232

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

LCM(2, 232) = 232

GCD(2, 232) = ( 2 x 232 ) / 232

GCD(2, 232) = 464 / 232

GCD(2, 232) = 2

GCD of 200, 174, 480, 232 is 2

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1. What is the GCD of 200, 174, 480, 232?

GCD of 200, 174, 480, 232 is 2

2. Where do I get the detailed procedure to find GCD of 200, 174, 480, 232?

You can find a detailed procedure to find GCD of 200, 174, 480, 232 on our page.

3. How to find GCD of 200, 174, 480, 232 on a calculator?

You can find the GCD of 200, 174, 480, 232 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.