Where do I get the detailed procedure to find GCD of 318, 180, 288?

You can find a detailed procedure to find GCD of 318, 180, 288 on our page.

How to find GCD of 318, 180, 288 on a calculator?

You can find the GCD of 318, 180, 288 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 318, 180, 288 Calculator

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

Online GCD Calculator is useful to find the GCD of 318, 180, 288 quickly. Get the easiest ways to solve the greatest common divisor of 318, 180, 288 i.e 6 in different methods as follows.

How to Find GCD of Numbers 318, 180, 288 with Factoring?

Given Input numbers are 318, 180, 288

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

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

GCD of numbers is the greatest common divisor

So, the GCD (318, 180, 288) = 6.

Find GCD of 318, 180, 288 using Prime Factorization

Given numbers are 318, 180, 288

The list of prime factors of all numbers are

Prime factors of 318 are 2 x 3 x 53

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 318, 180, 288 is 6.

Steps to Calculate GCD of 318, 180, 288 using LCM Formula

Given numbers are 318, 180, 288

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

Apply this formula for all numbers.

Step1:

LCM(318, 180) = 9540

GCD(318, 180) = ( 318 x 180 ) / 9540

= 318 / 180

= 318

Step2:

LCM(6, 288) = 288

GCD(6, 288) = ( 6 x 288 ) / 288

= 6 / 288

= 6

So, Greatest Common Divisor of 318, 180, 288 is 6

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 318, 180, 288

Given numbers are 318, 180, 288
The greatest common divisor of numbers 318, 180, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 318, 180, 288 is 6.

FAQs on GCD of 318, 180, 288 Calculator

1. What is the GCD of 318, 180, 288?

GCD of given numbers 318, 180, 288 is 6

2. How to calculate the greatest common divisor of 318, 180, 288?

We can find the highest common divisor of 318, 180, 288 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 318, 180, 288 i.e 6.

3. How can I use the GCD of 318, 180, 288Calculator?

Out the numbers 318, 180, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.