Where do I get the detailed procedure to find GCD of 360, 405, 522?

You can find a detailed procedure to find GCD of 360, 405, 522 on our page.

How to find GCD of 360, 405, 522 on a calculator?

You can find the GCD of 360, 405, 522 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.

GCD of 360, 405, 522 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Online GCD Calculator is useful to find the GCD of 360, 405, 522 quickly. Get the easiest ways to solve the greatest common divisor of 360, 405, 522 i.e 9 in different methods as follows.

How to Find GCD of Numbers 360, 405, 522 with Factoring?

Given Input numbers are 360, 405, 522

In the factoring method, we have to find the divisors of all numbers

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

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 405 :

The positive integer divisors of 405 that completely divides 405 are.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

Divisors of 522 :

The positive integer divisors of 522 that completely divides 522 are.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

GCD of numbers is the greatest common divisor

So, the GCD (360, 405, 522) = 9.

Find GCD of 360, 405, 522 using Prime Factorization

Given numbers are 360, 405, 522

The list of prime factors of all numbers are

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 405 are 3 x 3 x 3 x 3 x 5

Prime factors of 522 are 2 x 3 x 3 x 29

The highest common occurrence is 3²

Therefore, GCD of 360, 405, 522 is 9.

Steps to Calculate GCD of 360, 405, 522 using LCM Formula

Given numbers are 360, 405, 522

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(360, 405) = 3240

GCD(360, 405) = ( 360 x 405 ) / 3240

= 360 / 405

= 360

Step2:

LCM(45, 522) = 2610

GCD(45, 522) = ( 45 x 522 ) / 2610

= 45 / 522

= 45

So, Greatest Common Divisor of 360, 405, 522 is 9

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 360, 405, 522

Given numbers are 360, 405, 522
The greatest common divisor of numbers 360, 405, 522 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 405, 522 is 9.

FAQs on GCD of 360, 405, 522 Calculator

1. What is the GCD of 360, 405, 522?

GCD of given numbers 360, 405, 522 is 9

2. How to calculate the greatest common divisor of 360, 405, 522?

We can find the highest common divisor of 360, 405, 522 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 360, 405, 522 i.e 9.

3. How can I use the GCD of 360, 405, 522Calculator?

Out the numbers 360, 405, 522 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.