GCD of 200, 884, 49, 482 Calculator

Given Input numbers are 200, 884, 49, 482

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 884

List of positive integer divisors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 482

List of positive integer divisors of 482 that divides 482 without a remainder.

1, 2, 241, 482

Greatest Common Divisior

We found the divisors of 200, 884, 49, 482 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 200, 884, 49, 482 is 1.

Therefore, GCD of numbers 200, 884, 49, 482 is 1

Given Input Data is 200, 884, 49, 482

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 884 is 2 x 2 x 13 x 17

Prime Factorization of 49 is 7 x 7

Prime Factorization of 482 is 2 x 241

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, 884) = 44200

GCD(200, 884) = ( 200 x 884 ) / 44200

GCD(200, 884) = 176800 / 44200

GCD(200, 884) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 49

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

LCM(4, 49) = 196

GCD(4, 49) = ( 4 x 49 ) / 196

GCD(4, 49) = 196 / 196

GCD(4, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 482

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

LCM(1, 482) = 482

GCD(1, 482) = ( 1 x 482 ) / 482

GCD(1, 482) = 482 / 482

GCD(1, 482) = 1

GCD of 200, 884, 49, 482 is 1

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1. What is the GCD of 200, 884, 49, 482?

GCD of 200, 884, 49, 482 is 1

2. Where do I get the detailed procedure to find GCD of 200, 884, 49, 482?

You can find a detailed procedure to find GCD of 200, 884, 49, 482 on our page.

3. How to find GCD of 200, 884, 49, 482 on a calculator?

You can find the GCD of 200, 884, 49, 482 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.