Where do I get the detailed procedure to find GCD of 804, 672, 504?

You can find a detailed procedure to find GCD of 804, 672, 504 on our page.

How to find GCD of 804, 672, 504 on a calculator?

You can find the GCD of 804, 672, 504 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, 672, 504 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, 672, 504 quickly. Get the easiest ways to solve the greatest common divisor of 804, 672, 504 i.e 12 in different methods as follows.

How to Find GCD of Numbers 804, 672, 504 with Factoring?

Given Input numbers are 804, 672, 504

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 672 :

The positive integer divisors of 672 that completely divides 672 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

GCD of numbers is the greatest common divisor

So, the GCD (804, 672, 504) = 12.

Find GCD of 804, 672, 504 using Prime Factorization

Given numbers are 804, 672, 504

The list of prime factors of all numbers are

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

Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

The highest common occurrence is 2² x 3¹

Therefore, GCD of 804, 672, 504 is 12.

Steps to Calculate GCD of 804, 672, 504 using LCM Formula

Given numbers are 804, 672, 504

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

Apply this formula for all numbers.

Step1:

LCM(804, 672) = 45024

GCD(804, 672) = ( 804 x 672 ) / 45024

= 804 / 672

= 804

Step2:

LCM(12, 504) = 504

GCD(12, 504) = ( 12 x 504 ) / 504

= 12 / 504

= 12

So, Greatest Common Divisor of 804, 672, 504 is 12

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 804, 672, 504

Given numbers are 804, 672, 504
The greatest common divisor of numbers 804, 672, 504 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 804, 672, 504 is 12.

FAQs on GCD of 804, 672, 504 Calculator

1. What is the GCD of 804, 672, 504?

GCD of given numbers 804, 672, 504 is 12

2. How to calculate the greatest common divisor of 804, 672, 504?

We can find the highest common divisor of 804, 672, 504 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, 672, 504 i.e 12.

3. How can I use the GCD of 804, 672, 504Calculator?

Out the numbers 804, 672, 504 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.