GCD of 446, 424, 200 Calculator

Given Input numbers are 446, 424, 200

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

Divisors of 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Divisors of 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

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

Greatest Common Divisior

We found the divisors of 446, 424, 200 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 446, 424, 200 is 2.

Therefore, GCD of numbers 446, 424, 200 is 2

Given Input Data is 446, 424, 200

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

Prime Factorization of 446 is 2 x 223

Prime Factorization of 424 is 2 x 2 x 2 x 53

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

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(446, 424) = 94552

GCD(446, 424) = ( 446 x 424 ) / 94552

GCD(446, 424) = 189104 / 94552

GCD(446, 424) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 200

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

LCM(2, 200) = 200

GCD(2, 200) = ( 2 x 200 ) / 200

GCD(2, 200) = 400 / 200

GCD(2, 200) = 2

GCD of 446, 424, 200 is 2

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1. What is the GCD of 446, 424, 200?

GCD of 446, 424, 200 is 2

2. Where do I get the detailed procedure to find GCD of 446, 424, 200?

You can find a detailed procedure to find GCD of 446, 424, 200 on our page.

3. How to find GCD of 446, 424, 200 on a calculator?

You can find the GCD of 446, 424, 200 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.