Where do I get the detailed procedure to find GCD of 438, 213, 849?

You can find a detailed procedure to find GCD of 438, 213, 849 on our page.

How to find GCD of 438, 213, 849 on a calculator?

You can find the GCD of 438, 213, 849 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 438, 213, 849 Calculator

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

Online GCD Calculator is useful to find the GCD of 438, 213, 849 quickly. Get the easiest ways to solve the greatest common divisor of 438, 213, 849 i.e 3 in different methods as follows.

How to Find GCD of Numbers 438, 213, 849 with Factoring?

Given Input numbers are 438, 213, 849

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

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 213 :

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

1, 3, 71, 213

Divisors of 849 :

The positive integer divisors of 849 that completely divides 849 are.

1, 3, 283, 849

GCD of numbers is the greatest common divisor

So, the GCD (438, 213, 849) = 3.

Find GCD of 438, 213, 849 using Prime Factorization

Given numbers are 438, 213, 849

The list of prime factors of all numbers are

Prime factors of 438 are 2 x 3 x 73

Prime factors of 213 are 3 x 71

Prime factors of 849 are 3 x 283

The highest common occurrence is 3¹

Therefore, GCD of 438, 213, 849 is 3.

Steps to Calculate GCD of 438, 213, 849 using LCM Formula

Given numbers are 438, 213, 849

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

Apply this formula for all numbers.

Step1:

LCM(438, 213) = 31098

GCD(438, 213) = ( 438 x 213 ) / 31098

= 438 / 213

= 438

Step2:

LCM(3, 849) = 849

GCD(3, 849) = ( 3 x 849 ) / 849

= 3 / 849

= 3

So, Greatest Common Divisor of 438, 213, 849 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 438, 213, 849

Given numbers are 438, 213, 849
The greatest common divisor of numbers 438, 213, 849 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 438, 213, 849 is 3.

FAQs on GCD of 438, 213, 849 Calculator

1. What is the GCD of 438, 213, 849?

GCD of given numbers 438, 213, 849 is 3

2. How to calculate the greatest common divisor of 438, 213, 849?

We can find the highest common divisor of 438, 213, 849 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 438, 213, 849 i.e 3.

3. How can I use the GCD of 438, 213, 849Calculator?

Out the numbers 438, 213, 849 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.