Where do I get the detailed procedure to find GCD of 459, 297, 147?

You can find a detailed procedure to find GCD of 459, 297, 147 on our page.

How to find GCD of 459, 297, 147 on a calculator?

You can find the GCD of 459, 297, 147 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 459, 297, 147 Calculator

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

Online GCD Calculator is useful to find the GCD of 459, 297, 147 quickly. Get the easiest ways to solve the greatest common divisor of 459, 297, 147 i.e 3 in different methods as follows.

How to Find GCD of Numbers 459, 297, 147 with Factoring?

Given Input numbers are 459, 297, 147

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

Divisors of 459 :

The positive integer divisors of 459 that completely divides 459 are.

1, 3, 9, 17, 27, 51, 153, 459

Divisors of 297 :

The positive integer divisors of 297 that completely divides 297 are.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 147 :

The positive integer divisors of 147 that completely divides 147 are.

1, 3, 7, 21, 49, 147

GCD of numbers is the greatest common divisor

So, the GCD (459, 297, 147) = 3.

Find GCD of 459, 297, 147 using Prime Factorization

Given numbers are 459, 297, 147

The list of prime factors of all numbers are

Prime factors of 459 are 3 x 3 x 3 x 17

Prime factors of 297 are 3 x 3 x 3 x 11

Prime factors of 147 are 3 x 7 x 7

The highest common occurrence is 3¹

Therefore, GCD of 459, 297, 147 is 3.

Steps to Calculate GCD of 459, 297, 147 using LCM Formula

Given numbers are 459, 297, 147

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

Apply this formula for all numbers.

Step1:

LCM(459, 297) = 5049

GCD(459, 297) = ( 459 x 297 ) / 5049

= 459 / 297

= 459

Step2:

LCM(27, 147) = 1323

GCD(27, 147) = ( 27 x 147 ) / 1323

= 27 / 147

= 27

So, Greatest Common Divisor of 459, 297, 147 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 459, 297, 147

Given numbers are 459, 297, 147
The greatest common divisor of numbers 459, 297, 147 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 459, 297, 147 is 3.

FAQs on GCD of 459, 297, 147 Calculator

1. What is the GCD of 459, 297, 147?

GCD of given numbers 459, 297, 147 is 3

2. How to calculate the greatest common divisor of 459, 297, 147?

We can find the highest common divisor of 459, 297, 147 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 459, 297, 147 i.e 3.

3. How can I use the GCD of 459, 297, 147Calculator?

Out the numbers 459, 297, 147 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.