GCD of 200, 800, 934, 281 Calculator

Given Input numbers are 200, 800, 934, 281

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 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 934

List of positive integer divisors of 934 that divides 934 without a remainder.

1, 2, 467, 934

Divisors of 281

List of positive integer divisors of 281 that divides 281 without a remainder.

1, 281

Greatest Common Divisior

We found the divisors of 200, 800, 934, 281 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 200, 800, 934, 281 is 1.

Therefore, GCD of numbers 200, 800, 934, 281 is 1

Given Input Data is 200, 800, 934, 281

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 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 934 is 2 x 467

Prime Factorization of 281 is 281

The above numbers do not have any common prime factor. So GCD is 1

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, 800) = 800

GCD(200, 800) = ( 200 x 800 ) / 800

GCD(200, 800) = 160000 / 800

GCD(200, 800) = 200

Step2:

Here we consider the GCD from the above i.e. 200 as first number and the next as 934

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

LCM(200, 934) = 93400

GCD(200, 934) = ( 200 x 934 ) / 93400

GCD(200, 934) = 186800 / 93400

GCD(200, 934) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 281

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

LCM(2, 281) = 562

GCD(2, 281) = ( 2 x 281 ) / 562

GCD(2, 281) = 562 / 562

GCD(2, 281) = 1

GCD of 200, 800, 934, 281 is 1

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1. What is the GCD of 200, 800, 934, 281?

GCD of 200, 800, 934, 281 is 1

2. Where do I get the detailed procedure to find GCD of 200, 800, 934, 281?

You can find a detailed procedure to find GCD of 200, 800, 934, 281 on our page.

3. How to find GCD of 200, 800, 934, 281 on a calculator?

You can find the GCD of 200, 800, 934, 281 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.