Where do I get the detailed procedure to find GCD of 606, 189, 27?

You can find a detailed procedure to find GCD of 606, 189, 27 on our page.

How to find GCD of 606, 189, 27 on a calculator?

You can find the GCD of 606, 189, 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 606, 189, 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 606, 189, 27 quickly. Get the easiest ways to solve the greatest common divisor of 606, 189, 27 i.e 3 in different methods as follows.

How to Find GCD of Numbers 606, 189, 27 with Factoring?

Given Input numbers are 606, 189, 27

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

Divisors of 606 :

The positive integer divisors of 606 that completely divides 606 are.

1, 2, 3, 6, 101, 202, 303, 606

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

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 (606, 189, 27) = 3.

Find GCD of 606, 189, 27 using Prime Factorization

Given numbers are 606, 189, 27

The list of prime factors of all numbers are

Prime factors of 606 are 2 x 3 x 101

Prime factors of 189 are 3 x 3 x 3 x 7

Prime factors of 27 are 3 x 3 x 3

The highest common occurrence is 3¹

Therefore, GCD of 606, 189, 27 is 3.

Steps to Calculate GCD of 606, 189, 27 using LCM Formula

Given numbers are 606, 189, 27

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

Apply this formula for all numbers.

Step1:

LCM(606, 189) = 38178

GCD(606, 189) = ( 606 x 189 ) / 38178

= 606 / 189

= 606

Step2:

LCM(3, 27) = 27

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

= 3 / 27

= 3

So, Greatest Common Divisor of 606, 189, 27 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 606, 189, 27

Given numbers are 606, 189, 27
The greatest common divisor of numbers 606, 189, 27 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 606, 189, 27 is 3.

FAQs on GCD of 606, 189, 27 Calculator

1. What is the GCD of 606, 189, 27?

GCD of given numbers 606, 189, 27 is 3

2. How to calculate the greatest common divisor of 606, 189, 27?

We can find the highest common divisor of 606, 189, 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 606, 189, 27 i.e 3.

3. How can I use the GCD of 606, 189, 27Calculator?

Out the numbers 606, 189, 27 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.