Where do I get the detailed procedure to find GCD of 318, 270, 303?

You can find a detailed procedure to find GCD of 318, 270, 303 on our page.

How to find GCD of 318, 270, 303 on a calculator?

You can find the GCD of 318, 270, 303 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, 270, 303 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, 270, 303 quickly. Get the easiest ways to solve the greatest common divisor of 318, 270, 303 i.e 3 in different methods as follows.

How to Find GCD of Numbers 318, 270, 303 with Factoring?

Given Input numbers are 318, 270, 303

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 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 303 :

The positive integer divisors of 303 that completely divides 303 are.

1, 3, 101, 303

GCD of numbers is the greatest common divisor

So, the GCD (318, 270, 303) = 3.

Find GCD of 318, 270, 303 using Prime Factorization

Given numbers are 318, 270, 303

The list of prime factors of all numbers are

Prime factors of 318 are 2 x 3 x 53

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

Prime factors of 303 are 3 x 101

The highest common occurrence is 3¹

Therefore, GCD of 318, 270, 303 is 3.

Steps to Calculate GCD of 318, 270, 303 using LCM Formula

Given numbers are 318, 270, 303

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

Apply this formula for all numbers.

Step1:

LCM(318, 270) = 14310

GCD(318, 270) = ( 318 x 270 ) / 14310

= 318 / 270

= 318

Step2:

LCM(6, 303) = 606

GCD(6, 303) = ( 6 x 303 ) / 606

= 6 / 303

= 6

So, Greatest Common Divisor of 318, 270, 303 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 318, 270, 303

Given numbers are 318, 270, 303
The greatest common divisor of numbers 318, 270, 303 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 318, 270, 303 is 3.

FAQs on GCD of 318, 270, 303 Calculator

1. What is the GCD of 318, 270, 303?

GCD of given numbers 318, 270, 303 is 3

2. How to calculate the greatest common divisor of 318, 270, 303?

We can find the highest common divisor of 318, 270, 303 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, 270, 303 i.e 3.

3. How can I use the GCD of 318, 270, 303Calculator?

Out the numbers 318, 270, 303 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.