GCD of 200, 232, 32, 228 Calculator

Given Input numbers are 200, 232, 32, 228

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 232

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

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

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Greatest Common Divisior

We found the divisors of 200, 232, 32, 228 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 200, 232, 32, 228 is 4.

Therefore, GCD of numbers 200, 232, 32, 228 is 4

Given Input Data is 200, 232, 32, 228

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 232 is 2 x 2 x 2 x 29

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 228 is 2 x 2 x 3 x 19

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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, 232) = 5800

GCD(200, 232) = ( 200 x 232 ) / 5800

GCD(200, 232) = 46400 / 5800

GCD(200, 232) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 32

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

LCM(8, 32) = 32

GCD(8, 32) = ( 8 x 32 ) / 32

GCD(8, 32) = 256 / 32

GCD(8, 32) = 8

Step3:

Here we consider the GCD from the above i.e. 8 as first number and the next as 228

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

LCM(8, 228) = 456

GCD(8, 228) = ( 8 x 228 ) / 456

GCD(8, 228) = 1824 / 456

GCD(8, 228) = 4

GCD of 200, 232, 32, 228 is 4

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1. What is the GCD of 200, 232, 32, 228?

GCD of 200, 232, 32, 228 is 4

2. Where do I get the detailed procedure to find GCD of 200, 232, 32, 228?

You can find a detailed procedure to find GCD of 200, 232, 32, 228 on our page.

3. How to find GCD of 200, 232, 32, 228 on a calculator?

You can find the GCD of 200, 232, 32, 228 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.