GCD of 200, 384, 128 Calculator

Given Input numbers are 200, 384, 128

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 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 128

List of positive integer divisors of 128 that divides 128 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128

Greatest Common Divisior

We found the divisors of 200, 384, 128 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 200, 384, 128 is 8.

Therefore, GCD of numbers 200, 384, 128 is 8

Given Input Data is 200, 384, 128

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 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2

Highest common occurrences in the given inputs are 2³

Multiplying them we get the GCD as 8

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, 384) = 9600

GCD(200, 384) = ( 200 x 384 ) / 9600

GCD(200, 384) = 76800 / 9600

GCD(200, 384) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 128

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

LCM(8, 128) = 128

GCD(8, 128) = ( 8 x 128 ) / 128

GCD(8, 128) = 1024 / 128

GCD(8, 128) = 8

GCD of 200, 384, 128 is 8

Here are some samples of GCD of Numbers calculations.

• GCD of 286, 622, 210
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• GCD of 836, 784, 113
• GCD of 205, 427, 701

1. What is the GCD of 200, 384, 128?

GCD of 200, 384, 128 is 8

2. Where do I get the detailed procedure to find GCD of 200, 384, 128?

You can find a detailed procedure to find GCD of 200, 384, 128 on our page.

3. How to find GCD of 200, 384, 128 on a calculator?

You can find the GCD of 200, 384, 128 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.