GCD of 304, 495, 47, 449 Calculator

Given Input numbers are 304, 495, 47, 449

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

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 495

List of positive integer divisors of 495 that divides 495 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 449

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

1, 449

Greatest Common Divisior

We found the divisors of 304, 495, 47, 449 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 304, 495, 47, 449 is 1.

Therefore, GCD of numbers 304, 495, 47, 449 is 1

Given Input Data is 304, 495, 47, 449

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

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

Prime Factorization of 495 is 3 x 3 x 5 x 11

Prime Factorization of 47 is 47

Prime Factorization of 449 is 449

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(304, 495) = 150480

GCD(304, 495) = ( 304 x 495 ) / 150480

GCD(304, 495) = 150480 / 150480

GCD(304, 495) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 47

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

LCM(1, 47) = 47

GCD(1, 47) = ( 1 x 47 ) / 47

GCD(1, 47) = 47 / 47

GCD(1, 47) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 449

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

LCM(1, 449) = 449

GCD(1, 449) = ( 1 x 449 ) / 449

GCD(1, 449) = 449 / 449

GCD(1, 449) = 1

GCD of 304, 495, 47, 449 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 274, 356, 69, 619
• GCD of 585, 484, 12, 757
• GCD of 179, 789, 31, 323
• GCD of 302, 224, 86, 480
• GCD of 615, 517, 65, 183

1. What is the GCD of 304, 495, 47, 449?

GCD of 304, 495, 47, 449 is 1

2. Where do I get the detailed procedure to find GCD of 304, 495, 47, 449?

You can find a detailed procedure to find GCD of 304, 495, 47, 449 on our page.

3. How to find GCD of 304, 495, 47, 449 on a calculator?

You can find the GCD of 304, 495, 47, 449 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.