Where do I get the detailed procedure to find GCD of 240, 231, 54?

You can find a detailed procedure to find GCD of 240, 231, 54 on our page.

How to find GCD of 240, 231, 54 on a calculator?

You can find the GCD of 240, 231, 54 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 240, 231, 54 Calculator

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

Online GCD Calculator is useful to find the GCD of 240, 231, 54 quickly. Get the easiest ways to solve the greatest common divisor of 240, 231, 54 i.e 3 in different methods as follows.

How to Find GCD of Numbers 240, 231, 54 with Factoring?

Given Input numbers are 240, 231, 54

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

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 54 :

The positive integer divisors of 54 that completely divides 54 are.

1, 2, 3, 6, 9, 18, 27, 54

GCD of numbers is the greatest common divisor

So, the GCD (240, 231, 54) = 3.

Find GCD of 240, 231, 54 using Prime Factorization

Given numbers are 240, 231, 54

The list of prime factors of all numbers are

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 231 are 3 x 7 x 11

Prime factors of 54 are 2 x 3 x 3 x 3

The highest common occurrence is 3¹

Therefore, GCD of 240, 231, 54 is 3.

Steps to Calculate GCD of 240, 231, 54 using LCM Formula

Given numbers are 240, 231, 54

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

Apply this formula for all numbers.

Step1:

LCM(240, 231) = 18480

GCD(240, 231) = ( 240 x 231 ) / 18480

= 240 / 231

= 240

Step2:

LCM(3, 54) = 54

GCD(3, 54) = ( 3 x 54 ) / 54

= 3 / 54

= 3

So, Greatest Common Divisor of 240, 231, 54 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 240, 231, 54

Given numbers are 240, 231, 54
The greatest common divisor of numbers 240, 231, 54 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 231, 54 is 3.

FAQs on GCD of 240, 231, 54 Calculator

1. What is the GCD of 240, 231, 54?

GCD of given numbers 240, 231, 54 is 3

2. How to calculate the greatest common divisor of 240, 231, 54?

We can find the highest common divisor of 240, 231, 54 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 240, 231, 54 i.e 3.

3. How can I use the GCD of 240, 231, 54Calculator?

Out the numbers 240, 231, 54 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.