GCD of 439, 228, 45, 400 Calculator

Given Input numbers are 439, 228, 45, 400

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

Divisors of 439

List of positive integer divisors of 439 that divides 439 without a remainder.

1, 439

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

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

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

Greatest Common Divisior

We found the divisors of 439, 228, 45, 400 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 439, 228, 45, 400 is 1.

Therefore, GCD of numbers 439, 228, 45, 400 is 1

Given Input Data is 439, 228, 45, 400

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

Prime Factorization of 439 is 439

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

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

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(439, 228) = 100092

GCD(439, 228) = ( 439 x 228 ) / 100092

GCD(439, 228) = 100092 / 100092

GCD(439, 228) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 45

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

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

GCD(1, 45) = 45 / 45

GCD(1, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 400

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

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

GCD(1, 400) = 400 / 400

GCD(1, 400) = 1

GCD of 439, 228, 45, 400 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 626, 693, 64, 319
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1. What is the GCD of 439, 228, 45, 400?

GCD of 439, 228, 45, 400 is 1

2. Where do I get the detailed procedure to find GCD of 439, 228, 45, 400?

You can find a detailed procedure to find GCD of 439, 228, 45, 400 on our page.

3. How to find GCD of 439, 228, 45, 400 on a calculator?

You can find the GCD of 439, 228, 45, 400 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.