Where do I get the detailed procedure to find GCD of 309, 222, 186?

You can find a detailed procedure to find GCD of 309, 222, 186 on our page.

How to find GCD of 309, 222, 186 on a calculator?

You can find the GCD of 309, 222, 186 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 309, 222, 186 Calculator

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

Online GCD Calculator is useful to find the GCD of 309, 222, 186 quickly. Get the easiest ways to solve the greatest common divisor of 309, 222, 186 i.e 3 in different methods as follows.

How to Find GCD of Numbers 309, 222, 186 with Factoring?

Given Input numbers are 309, 222, 186

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

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 222 :

The positive integer divisors of 222 that completely divides 222 are.

1, 2, 3, 6, 37, 74, 111, 222

Divisors of 186 :

The positive integer divisors of 186 that completely divides 186 are.

1, 2, 3, 6, 31, 62, 93, 186

GCD of numbers is the greatest common divisor

So, the GCD (309, 222, 186) = 3.

Find GCD of 309, 222, 186 using Prime Factorization

Given numbers are 309, 222, 186

The list of prime factors of all numbers are

Prime factors of 309 are 3 x 103

Prime factors of 222 are 2 x 3 x 37

Prime factors of 186 are 2 x 3 x 31

The highest common occurrence is 3¹

Therefore, GCD of 309, 222, 186 is 3.

Steps to Calculate GCD of 309, 222, 186 using LCM Formula

Given numbers are 309, 222, 186

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

Apply this formula for all numbers.

Step1:

LCM(309, 222) = 22866

GCD(309, 222) = ( 309 x 222 ) / 22866

= 309 / 222

= 309

Step2:

LCM(3, 186) = 186

GCD(3, 186) = ( 3 x 186 ) / 186

= 3 / 186

= 3

So, Greatest Common Divisor of 309, 222, 186 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 309, 222, 186

Given numbers are 309, 222, 186
The greatest common divisor of numbers 309, 222, 186 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 309, 222, 186 is 3.

FAQs on GCD of 309, 222, 186 Calculator

1. What is the GCD of 309, 222, 186?

GCD of given numbers 309, 222, 186 is 3

2. How to calculate the greatest common divisor of 309, 222, 186?

We can find the highest common divisor of 309, 222, 186 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 309, 222, 186 i.e 3.

3. How can I use the GCD of 309, 222, 186Calculator?

Out the numbers 309, 222, 186 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.