GCD of 432, 363, 41, 517 Calculator

Given Input numbers are 432, 363, 41, 517

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

Divisors of 432

List of positive integer divisors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Divisors of 517

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

1, 11, 47, 517

Greatest Common Divisior

We found the divisors of 432, 363, 41, 517 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 432, 363, 41, 517 is 1.

Therefore, GCD of numbers 432, 363, 41, 517 is 1

Given Input Data is 432, 363, 41, 517

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

Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 41 is 41

Prime Factorization of 517 is 11 x 47

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(432, 363) = 52272

GCD(432, 363) = ( 432 x 363 ) / 52272

GCD(432, 363) = 156816 / 52272

GCD(432, 363) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 41

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

LCM(3, 41) = 123

GCD(3, 41) = ( 3 x 41 ) / 123

GCD(3, 41) = 123 / 123

GCD(3, 41) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 517

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

LCM(1, 517) = 517

GCD(1, 517) = ( 1 x 517 ) / 517

GCD(1, 517) = 517 / 517

GCD(1, 517) = 1

GCD of 432, 363, 41, 517 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 454, 941, 68, 993
• GCD of 840, 812, 49, 472
• GCD of 258, 271, 36, 126
• GCD of 434, 459, 16, 511
• GCD of 120, 329, 47, 335

1. What is the GCD of 432, 363, 41, 517?

GCD of 432, 363, 41, 517 is 1

2. Where do I get the detailed procedure to find GCD of 432, 363, 41, 517?

You can find a detailed procedure to find GCD of 432, 363, 41, 517 on our page.

3. How to find GCD of 432, 363, 41, 517 on a calculator?

You can find the GCD of 432, 363, 41, 517 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.