GCD of 360, 517, 27, 459 Calculator

Given Input numbers are 360, 517, 27, 459

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

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 517

List of positive integer divisors of 517 that divides 517 without a remainder.

1, 11, 47, 517

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Greatest Common Divisior

We found the divisors of 360, 517, 27, 459 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 517, 27, 459 is 1.

Therefore, GCD of numbers 360, 517, 27, 459 is 1

Given Input Data is 360, 517, 27, 459

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

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

Prime Factorization of 517 is 11 x 47

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 459 is 3 x 3 x 3 x 17

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(360, 517) = 186120

GCD(360, 517) = ( 360 x 517 ) / 186120

GCD(360, 517) = 186120 / 186120

GCD(360, 517) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 27

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

LCM(1, 27) = 27

GCD(1, 27) = ( 1 x 27 ) / 27

GCD(1, 27) = 27 / 27

GCD(1, 27) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 459

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

LCM(1, 459) = 459

GCD(1, 459) = ( 1 x 459 ) / 459

GCD(1, 459) = 459 / 459

GCD(1, 459) = 1

GCD of 360, 517, 27, 459 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 105, 254, 14, 302
• GCD of 139, 414, 51, 335
• GCD of 781, 232, 85, 145
• GCD of 703, 522, 40, 798
• GCD of 556, 105, 52, 866

1. What is the GCD of 360, 517, 27, 459?

GCD of 360, 517, 27, 459 is 1

2. Where do I get the detailed procedure to find GCD of 360, 517, 27, 459?

You can find a detailed procedure to find GCD of 360, 517, 27, 459 on our page.

3. How to find GCD of 360, 517, 27, 459 on a calculator?

You can find the GCD of 360, 517, 27, 459 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.