Where do I get the detailed procedure to find GCD of 231, 414, 225?

You can find a detailed procedure to find GCD of 231, 414, 225 on our page.

How to find GCD of 231, 414, 225 on a calculator?

You can find the GCD of 231, 414, 225 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 231, 414, 225 Calculator

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

Online GCD Calculator is useful to find the GCD of 231, 414, 225 quickly. Get the easiest ways to solve the greatest common divisor of 231, 414, 225 i.e 3 in different methods as follows.

How to Find GCD of Numbers 231, 414, 225 with Factoring?

Given Input numbers are 231, 414, 225

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

Divisors of 231 :

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

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

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

GCD of numbers is the greatest common divisor

So, the GCD (231, 414, 225) = 3.

Find GCD of 231, 414, 225 using Prime Factorization

Given numbers are 231, 414, 225

The list of prime factors of all numbers are

Prime factors of 231 are 3 x 7 x 11

Prime factors of 414 are 2 x 3 x 3 x 23

Prime factors of 225 are 3 x 3 x 5 x 5

The highest common occurrence is 3¹

Therefore, GCD of 231, 414, 225 is 3.

Steps to Calculate GCD of 231, 414, 225 using LCM Formula

Given numbers are 231, 414, 225

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

Apply this formula for all numbers.

Step1:

LCM(231, 414) = 31878

GCD(231, 414) = ( 231 x 414 ) / 31878

= 231 / 414

= 231

Step2:

LCM(3, 225) = 225

GCD(3, 225) = ( 3 x 225 ) / 225

= 3 / 225

= 3

So, Greatest Common Divisor of 231, 414, 225 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 231, 414, 225

Given numbers are 231, 414, 225
The greatest common divisor of numbers 231, 414, 225 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 231, 414, 225 is 3.

FAQs on GCD of 231, 414, 225 Calculator

1. What is the GCD of 231, 414, 225?

GCD of given numbers 231, 414, 225 is 3

2. How to calculate the greatest common divisor of 231, 414, 225?

We can find the highest common divisor of 231, 414, 225 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 231, 414, 225 i.e 3.

3. How can I use the GCD of 231, 414, 225Calculator?

Out the numbers 231, 414, 225 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.