Where do I get the detailed procedure to find GCD of 405, 972, 18?

You can find a detailed procedure to find GCD of 405, 972, 18 on our page.

How to find GCD of 405, 972, 18 on a calculator?

You can find the GCD of 405, 972, 18 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 405, 972, 18 Calculator

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

Online GCD Calculator is useful to find the GCD of 405, 972, 18 quickly. Get the easiest ways to solve the greatest common divisor of 405, 972, 18 i.e 9 in different methods as follows.

How to Find GCD of Numbers 405, 972, 18 with Factoring?

Given Input numbers are 405, 972, 18

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

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 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 18 :

The positive integer divisors of 18 that completely divides 18 are.

1, 2, 3, 6, 9, 18

GCD of numbers is the greatest common divisor

So, the GCD (405, 972, 18) = 9.

Find GCD of 405, 972, 18 using Prime Factorization

Given numbers are 405, 972, 18

The list of prime factors of all numbers are

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

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 18 are 2 x 3 x 3

The highest common occurrence is 3²

Therefore, GCD of 405, 972, 18 is 9.

Steps to Calculate GCD of 405, 972, 18 using LCM Formula

Given numbers are 405, 972, 18

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

Apply this formula for all numbers.

Step1:

LCM(405, 972) = 4860

GCD(405, 972) = ( 405 x 972 ) / 4860

= 405 / 972

= 405

Step2:

LCM(81, 18) = 162

GCD(81, 18) = ( 81 x 18 ) / 162

= 81 / 18

= 81

So, Greatest Common Divisor of 405, 972, 18 is 9

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 405, 972, 18

Given numbers are 405, 972, 18
The greatest common divisor of numbers 405, 972, 18 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 405, 972, 18 is 9.

FAQs on GCD of 405, 972, 18 Calculator

1. What is the GCD of 405, 972, 18?

GCD of given numbers 405, 972, 18 is 9

2. How to calculate the greatest common divisor of 405, 972, 18?

We can find the highest common divisor of 405, 972, 18 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 405, 972, 18 i.e 9.

3. How can I use the GCD of 405, 972, 18Calculator?

Out the numbers 405, 972, 18 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.