Where do I get the detailed procedure to find GCD of 234, 144, 213?

You can find a detailed procedure to find GCD of 234, 144, 213 on our page.

How to find GCD of 234, 144, 213 on a calculator?

You can find the GCD of 234, 144, 213 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 234, 144, 213 Calculator

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

Online GCD Calculator is useful to find the GCD of 234, 144, 213 quickly. Get the easiest ways to solve the greatest common divisor of 234, 144, 213 i.e 3 in different methods as follows.

How to Find GCD of Numbers 234, 144, 213 with Factoring?

Given Input numbers are 234, 144, 213

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

Divisors of 234 :

The positive integer divisors of 234 that completely divides 234 are.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

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

Divisors of 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213

GCD of numbers is the greatest common divisor

So, the GCD (234, 144, 213) = 3.

Find GCD of 234, 144, 213 using Prime Factorization

Given numbers are 234, 144, 213

The list of prime factors of all numbers are

Prime factors of 234 are 2 x 3 x 3 x 13

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 213 are 3 x 71

The highest common occurrence is 3¹

Therefore, GCD of 234, 144, 213 is 3.

Steps to Calculate GCD of 234, 144, 213 using LCM Formula

Given numbers are 234, 144, 213

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

Apply this formula for all numbers.

Step1:

LCM(234, 144) = 1872

GCD(234, 144) = ( 234 x 144 ) / 1872

= 234 / 144

= 234

Step2:

LCM(18, 213) = 1278

GCD(18, 213) = ( 18 x 213 ) / 1278

= 18 / 213

= 18

So, Greatest Common Divisor of 234, 144, 213 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 234, 144, 213

Given numbers are 234, 144, 213
The greatest common divisor of numbers 234, 144, 213 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 234, 144, 213 is 3.

FAQs on GCD of 234, 144, 213 Calculator

1. What is the GCD of 234, 144, 213?

GCD of given numbers 234, 144, 213 is 3

2. How to calculate the greatest common divisor of 234, 144, 213?

We can find the highest common divisor of 234, 144, 213 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 234, 144, 213 i.e 3.

3. How can I use the GCD of 234, 144, 213Calculator?

Out the numbers 234, 144, 213 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.