Where do I get the detailed procedure to find GCD of 648, 441, 342?

You can find a detailed procedure to find GCD of 648, 441, 342 on our page.

How to find GCD of 648, 441, 342 on a calculator?

You can find the GCD of 648, 441, 342 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 648, 441, 342 Calculator

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

Online GCD Calculator is useful to find the GCD of 648, 441, 342 quickly. Get the easiest ways to solve the greatest common divisor of 648, 441, 342 i.e 9 in different methods as follows.

How to Find GCD of Numbers 648, 441, 342 with Factoring?

Given Input numbers are 648, 441, 342

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

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 441 :

The positive integer divisors of 441 that completely divides 441 are.

1, 3, 7, 9, 21, 49, 63, 147, 441

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

GCD of numbers is the greatest common divisor

So, the GCD (648, 441, 342) = 9.

Find GCD of 648, 441, 342 using Prime Factorization

Given numbers are 648, 441, 342

The list of prime factors of all numbers are

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 441 are 3 x 3 x 7 x 7

Prime factors of 342 are 2 x 3 x 3 x 19

The highest common occurrence is 3²

Therefore, GCD of 648, 441, 342 is 9.

Steps to Calculate GCD of 648, 441, 342 using LCM Formula

Given numbers are 648, 441, 342

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

Apply this formula for all numbers.

Step1:

LCM(648, 441) = 31752

GCD(648, 441) = ( 648 x 441 ) / 31752

= 648 / 441

= 648

Step2:

LCM(9, 342) = 342

GCD(9, 342) = ( 9 x 342 ) / 342

= 9 / 342

= 9

So, Greatest Common Divisor of 648, 441, 342 is 9

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 648, 441, 342

Given numbers are 648, 441, 342
The greatest common divisor of numbers 648, 441, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 648, 441, 342 is 9.

FAQs on GCD of 648, 441, 342 Calculator

1. What is the GCD of 648, 441, 342?

GCD of given numbers 648, 441, 342 is 9

2. How to calculate the greatest common divisor of 648, 441, 342?

We can find the highest common divisor of 648, 441, 342 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 648, 441, 342 i.e 9.

3. How can I use the GCD of 648, 441, 342Calculator?

Out the numbers 648, 441, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.