Where do I get the detailed procedure to find GCD of 664, 144, 872?

You can find a detailed procedure to find GCD of 664, 144, 872 on our page.

How to find GCD of 664, 144, 872 on a calculator?

You can find the GCD of 664, 144, 872 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 664, 144, 872 Calculator

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

Online GCD Calculator is useful to find the GCD of 664, 144, 872 quickly. Get the easiest ways to solve the greatest common divisor of 664, 144, 872 i.e 8 in different methods as follows.

How to Find GCD of Numbers 664, 144, 872 with Factoring?

Given Input numbers are 664, 144, 872

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

Divisors of 664 :

The positive integer divisors of 664 that completely divides 664 are.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

GCD of numbers is the greatest common divisor

So, the GCD (664, 144, 872) = 8.

Find GCD of 664, 144, 872 using Prime Factorization

Given numbers are 664, 144, 872

The list of prime factors of all numbers are

Prime factors of 664 are 2 x 2 x 2 x 83

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 872 are 2 x 2 x 2 x 109

The highest common occurrence is 2³

Therefore, GCD of 664, 144, 872 is 8.

Steps to Calculate GCD of 664, 144, 872 using LCM Formula

Given numbers are 664, 144, 872

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

Apply this formula for all numbers.

Step1:

LCM(664, 144) = 11952

GCD(664, 144) = ( 664 x 144 ) / 11952

= 664 / 144

= 664

Step2:

LCM(8, 872) = 872

GCD(8, 872) = ( 8 x 872 ) / 872

= 8 / 872

= 8

So, Greatest Common Divisor of 664, 144, 872 is 8

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 664, 144, 872

Given numbers are 664, 144, 872
The greatest common divisor of numbers 664, 144, 872 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 664, 144, 872 is 8.

FAQs on GCD of 664, 144, 872 Calculator

1. What is the GCD of 664, 144, 872?

GCD of given numbers 664, 144, 872 is 8

2. How to calculate the greatest common divisor of 664, 144, 872?

We can find the highest common divisor of 664, 144, 872 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 664, 144, 872 i.e 8.

3. How can I use the GCD of 664, 144, 872Calculator?

Out the numbers 664, 144, 872 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.