GCD of 449, 663, 117, 398 Calculator

Given Input numbers are 449, 663, 117, 398

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

Divisors of 449

List of positive integer divisors of 449 that divides 449 without a remainder.

1, 449

Divisors of 663

List of positive integer divisors of 663 that divides 663 without a remainder.

1, 3, 13, 17, 39, 51, 221, 663

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Greatest Common Divisior

We found the divisors of 449, 663, 117, 398 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 449, 663, 117, 398 is 1.

Therefore, GCD of numbers 449, 663, 117, 398 is 1

Given Input Data is 449, 663, 117, 398

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

Prime Factorization of 449 is 449

Prime Factorization of 663 is 3 x 13 x 17

Prime Factorization of 117 is 3 x 3 x 13

Prime Factorization of 398 is 2 x 199

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(449, 663) = 297687

GCD(449, 663) = ( 449 x 663 ) / 297687

GCD(449, 663) = 297687 / 297687

GCD(449, 663) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 117

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

LCM(1, 117) = 117

GCD(1, 117) = ( 1 x 117 ) / 117

GCD(1, 117) = 117 / 117

GCD(1, 117) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 398

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

LCM(1, 398) = 398

GCD(1, 398) = ( 1 x 398 ) / 398

GCD(1, 398) = 398 / 398

GCD(1, 398) = 1

GCD of 449, 663, 117, 398 is 1

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1. What is the GCD of 449, 663, 117, 398?

GCD of 449, 663, 117, 398 is 1

2. Where do I get the detailed procedure to find GCD of 449, 663, 117, 398?

You can find a detailed procedure to find GCD of 449, 663, 117, 398 on our page.

3. How to find GCD of 449, 663, 117, 398 on a calculator?

You can find the GCD of 449, 663, 117, 398 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.