Where do I get the detailed procedure to find GCD of 312, 222, 117?

You can find a detailed procedure to find GCD of 312, 222, 117 on our page.

How to find GCD of 312, 222, 117 on a calculator?

You can find the GCD of 312, 222, 117 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 312, 222, 117 Calculator

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

Online GCD Calculator is useful to find the GCD of 312, 222, 117 quickly. Get the easiest ways to solve the greatest common divisor of 312, 222, 117 i.e 3 in different methods as follows.

How to Find GCD of Numbers 312, 222, 117 with Factoring?

Given Input numbers are 312, 222, 117

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

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 222 :

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

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

Divisors of 117 :

The positive integer divisors of 117 that completely divides 117 are.

1, 3, 9, 13, 39, 117

GCD of numbers is the greatest common divisor

So, the GCD (312, 222, 117) = 3.

Find GCD of 312, 222, 117 using Prime Factorization

Given numbers are 312, 222, 117

The list of prime factors of all numbers are

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 222 are 2 x 3 x 37

Prime factors of 117 are 3 x 3 x 13

The highest common occurrence is 3¹

Therefore, GCD of 312, 222, 117 is 3.

Steps to Calculate GCD of 312, 222, 117 using LCM Formula

Given numbers are 312, 222, 117

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

Apply this formula for all numbers.

Step1:

LCM(312, 222) = 11544

GCD(312, 222) = ( 312 x 222 ) / 11544

= 312 / 222

= 312

Step2:

LCM(6, 117) = 234

GCD(6, 117) = ( 6 x 117 ) / 234

= 6 / 117

= 6

So, Greatest Common Divisor of 312, 222, 117 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 312, 222, 117

Given numbers are 312, 222, 117
The greatest common divisor of numbers 312, 222, 117 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 312, 222, 117 is 3.

FAQs on GCD of 312, 222, 117 Calculator

1. What is the GCD of 312, 222, 117?

GCD of given numbers 312, 222, 117 is 3

2. How to calculate the greatest common divisor of 312, 222, 117?

We can find the highest common divisor of 312, 222, 117 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 312, 222, 117 i.e 3.

3. How can I use the GCD of 312, 222, 117Calculator?

Out the numbers 312, 222, 117 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.