Where do I get the detailed procedure to find GCD of 304, 824, 172?

You can find a detailed procedure to find GCD of 304, 824, 172 on our page.

How to find GCD of 304, 824, 172 on a calculator?

You can find the GCD of 304, 824, 172 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 304, 824, 172 Calculator

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

Online GCD Calculator is useful to find the GCD of 304, 824, 172 quickly. Get the easiest ways to solve the greatest common divisor of 304, 824, 172 i.e 4 in different methods as follows.

How to Find GCD of Numbers 304, 824, 172 with Factoring?

Given Input numbers are 304, 824, 172

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

Divisors of 304 :

The positive integer divisors of 304 that completely divides 304 are.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

GCD of numbers is the greatest common divisor

So, the GCD (304, 824, 172) = 4.

Find GCD of 304, 824, 172 using Prime Factorization

Given numbers are 304, 824, 172

The list of prime factors of all numbers are

Prime factors of 304 are 2 x 2 x 2 x 2 x 19

Prime factors of 824 are 2 x 2 x 2 x 103

Prime factors of 172 are 2 x 2 x 43

The highest common occurrence is 2²

Therefore, GCD of 304, 824, 172 is 4.

Steps to Calculate GCD of 304, 824, 172 using LCM Formula

Given numbers are 304, 824, 172

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

Apply this formula for all numbers.

Step1:

LCM(304, 824) = 31312

GCD(304, 824) = ( 304 x 824 ) / 31312

= 304 / 824

= 304

Step2:

LCM(8, 172) = 344

GCD(8, 172) = ( 8 x 172 ) / 344

= 8 / 172

= 8

So, Greatest Common Divisor of 304, 824, 172 is 4

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 304, 824, 172

Given numbers are 304, 824, 172
The greatest common divisor of numbers 304, 824, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 304, 824, 172 is 4.

FAQs on GCD of 304, 824, 172 Calculator

1. What is the GCD of 304, 824, 172?

GCD of given numbers 304, 824, 172 is 4

2. How to calculate the greatest common divisor of 304, 824, 172?

We can find the highest common divisor of 304, 824, 172 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 304, 824, 172 i.e 4.

3. How can I use the GCD of 304, 824, 172Calculator?

Out the numbers 304, 824, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.