Where do I get the detailed procedure to find GCD of 126, 231, 471?

You can find a detailed procedure to find GCD of 126, 231, 471 on our page.

How to find GCD of 126, 231, 471 on a calculator?

You can find the GCD of 126, 231, 471 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 126, 231, 471 Calculator

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

Online GCD Calculator is useful to find the GCD of 126, 231, 471 quickly. Get the easiest ways to solve the greatest common divisor of 126, 231, 471 i.e 3 in different methods as follows.

How to Find GCD of Numbers 126, 231, 471 with Factoring?

Given Input numbers are 126, 231, 471

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

Divisors of 126 :

The positive integer divisors of 126 that completely divides 126 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 231 :

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

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

Divisors of 471 :

The positive integer divisors of 471 that completely divides 471 are.

1, 3, 157, 471

GCD of numbers is the greatest common divisor

So, the GCD (126, 231, 471) = 3.

Find GCD of 126, 231, 471 using Prime Factorization

Given numbers are 126, 231, 471

The list of prime factors of all numbers are

Prime factors of 126 are 2 x 3 x 3 x 7

Prime factors of 231 are 3 x 7 x 11

Prime factors of 471 are 3 x 157

The highest common occurrence is 3¹

Therefore, GCD of 126, 231, 471 is 3.

Steps to Calculate GCD of 126, 231, 471 using LCM Formula

Given numbers are 126, 231, 471

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

Apply this formula for all numbers.

Step1:

LCM(126, 231) = 1386

GCD(126, 231) = ( 126 x 231 ) / 1386

= 126 / 231

= 126

Step2:

LCM(21, 471) = 3297

GCD(21, 471) = ( 21 x 471 ) / 3297

= 21 / 471

= 21

So, Greatest Common Divisor of 126, 231, 471 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 126, 231, 471

Given numbers are 126, 231, 471
The greatest common divisor of numbers 126, 231, 471 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 126, 231, 471 is 3.

FAQs on GCD of 126, 231, 471 Calculator

1. What is the GCD of 126, 231, 471?

GCD of given numbers 126, 231, 471 is 3

2. How to calculate the greatest common divisor of 126, 231, 471?

We can find the highest common divisor of 126, 231, 471 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 126, 231, 471 i.e 3.

3. How can I use the GCD of 126, 231, 471Calculator?

Out the numbers 126, 231, 471 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.