Where do I get the detailed procedure to find GCD of 585, 267, 27?

You can find a detailed procedure to find GCD of 585, 267, 27 on our page.

How to find GCD of 585, 267, 27 on a calculator?

You can find the GCD of 585, 267, 27 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 585, 267, 27 Calculator

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

Online GCD Calculator is useful to find the GCD of 585, 267, 27 quickly. Get the easiest ways to solve the greatest common divisor of 585, 267, 27 i.e 3 in different methods as follows.

How to Find GCD of Numbers 585, 267, 27 with Factoring?

Given Input numbers are 585, 267, 27

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

Divisors of 585 :

The positive integer divisors of 585 that completely divides 585 are.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 267 :

The positive integer divisors of 267 that completely divides 267 are.

1, 3, 89, 267

Divisors of 27 :

The positive integer divisors of 27 that completely divides 27 are.

1, 3, 9, 27

GCD of numbers is the greatest common divisor

So, the GCD (585, 267, 27) = 3.

Find GCD of 585, 267, 27 using Prime Factorization

Given numbers are 585, 267, 27

The list of prime factors of all numbers are

Prime factors of 585 are 3 x 3 x 5 x 13

Prime factors of 267 are 3 x 89

Prime factors of 27 are 3 x 3 x 3

The highest common occurrence is 3¹

Therefore, GCD of 585, 267, 27 is 3.

Steps to Calculate GCD of 585, 267, 27 using LCM Formula

Given numbers are 585, 267, 27

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

Apply this formula for all numbers.

Step1:

LCM(585, 267) = 52065

GCD(585, 267) = ( 585 x 267 ) / 52065

= 585 / 267

= 585

Step2:

LCM(3, 27) = 27

GCD(3, 27) = ( 3 x 27 ) / 27

= 3 / 27

= 3

So, Greatest Common Divisor of 585, 267, 27 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 585, 267, 27

Given numbers are 585, 267, 27
The greatest common divisor of numbers 585, 267, 27 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 585, 267, 27 is 3.

FAQs on GCD of 585, 267, 27 Calculator

1. What is the GCD of 585, 267, 27?

GCD of given numbers 585, 267, 27 is 3

2. How to calculate the greatest common divisor of 585, 267, 27?

We can find the highest common divisor of 585, 267, 27 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 585, 267, 27 i.e 3.

3. How can I use the GCD of 585, 267, 27Calculator?

Out the numbers 585, 267, 27 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.