GCD of 447, 360, 29, 296 Calculator

Given Input numbers are 447, 360, 29, 296

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

Divisors of 447

List of positive integer divisors of 447 that divides 447 without a remainder.

1, 3, 149, 447

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Greatest Common Divisior

We found the divisors of 447, 360, 29, 296 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 447, 360, 29, 296 is 1.

Therefore, GCD of numbers 447, 360, 29, 296 is 1

Given Input Data is 447, 360, 29, 296

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

Prime Factorization of 447 is 3 x 149

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 29 is 29

Prime Factorization of 296 is 2 x 2 x 2 x 37

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(447, 360) = 53640

GCD(447, 360) = ( 447 x 360 ) / 53640

GCD(447, 360) = 160920 / 53640

GCD(447, 360) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 29

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

LCM(3, 29) = 87

GCD(3, 29) = ( 3 x 29 ) / 87

GCD(3, 29) = 87 / 87

GCD(3, 29) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 296

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

LCM(1, 296) = 296

GCD(1, 296) = ( 1 x 296 ) / 296

GCD(1, 296) = 296 / 296

GCD(1, 296) = 1

GCD of 447, 360, 29, 296 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 560, 536, 35, 600
• GCD of 742, 156, 21, 329
• GCD of 605, 963, 44, 393
• GCD of 862, 526, 14, 595
• GCD of 126, 626, 87, 876

1. What is the GCD of 447, 360, 29, 296?

GCD of 447, 360, 29, 296 is 1

2. Where do I get the detailed procedure to find GCD of 447, 360, 29, 296?

You can find a detailed procedure to find GCD of 447, 360, 29, 296 on our page.

3. How to find GCD of 447, 360, 29, 296 on a calculator?

You can find the GCD of 447, 360, 29, 296 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.