Where do I get the detailed procedure to find GCD of 804, 654, 558?

You can find a detailed procedure to find GCD of 804, 654, 558 on our page.

How to find GCD of 804, 654, 558 on a calculator?

You can find the GCD of 804, 654, 558 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 804, 654, 558 Calculator

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

Online GCD Calculator is useful to find the GCD of 804, 654, 558 quickly. Get the easiest ways to solve the greatest common divisor of 804, 654, 558 i.e 6 in different methods as follows.

How to Find GCD of Numbers 804, 654, 558 with Factoring?

Given Input numbers are 804, 654, 558

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

Divisors of 804 :

The positive integer divisors of 804 that completely divides 804 are.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 558 :

The positive integer divisors of 558 that completely divides 558 are.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

GCD of numbers is the greatest common divisor

So, the GCD (804, 654, 558) = 6.

Find GCD of 804, 654, 558 using Prime Factorization

Given numbers are 804, 654, 558

The list of prime factors of all numbers are

Prime factors of 804 are 2 x 2 x 3 x 67

Prime factors of 654 are 2 x 3 x 109

Prime factors of 558 are 2 x 3 x 3 x 31

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 804, 654, 558 is 6.

Steps to Calculate GCD of 804, 654, 558 using LCM Formula

Given numbers are 804, 654, 558

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

Apply this formula for all numbers.

Step1:

LCM(804, 654) = 87636

GCD(804, 654) = ( 804 x 654 ) / 87636

= 804 / 654

= 804

Step2:

LCM(6, 558) = 558

GCD(6, 558) = ( 6 x 558 ) / 558

= 6 / 558

= 6

So, Greatest Common Divisor of 804, 654, 558 is 6

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 804, 654, 558

Given numbers are 804, 654, 558
The greatest common divisor of numbers 804, 654, 558 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 804, 654, 558 is 6.

FAQs on GCD of 804, 654, 558 Calculator

1. What is the GCD of 804, 654, 558?

GCD of given numbers 804, 654, 558 is 6

2. How to calculate the greatest common divisor of 804, 654, 558?

We can find the highest common divisor of 804, 654, 558 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 804, 654, 558 i.e 6.

3. How can I use the GCD of 804, 654, 558Calculator?

Out the numbers 804, 654, 558 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.