Where do I get the detailed procedure to find GCD of 304, 172, 71?

You can find a detailed procedure to find GCD of 304, 172, 71 on our page.

How to find GCD of 304, 172, 71 on a calculator?

You can find the GCD of 304, 172, 71 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, 172, 71 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, 172, 71 quickly. Get the easiest ways to solve the greatest common divisor of 304, 172, 71 i.e 1 in different methods as follows.

How to Find GCD of Numbers 304, 172, 71 with Factoring?

Given Input numbers are 304, 172, 71

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 172 :

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

1, 2, 4, 43, 86, 172

Divisors of 71 :

The positive integer divisors of 71 that completely divides 71 are.

1, 71

GCD of numbers is the greatest common divisor

So, the GCD (304, 172, 71) = 1.

Find GCD of 304, 172, 71 using Prime Factorization

Given numbers are 304, 172, 71

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 172 are 2 x 2 x 43

Prime factors of 71 are 71

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 304, 172, 71 using LCM Formula

Given numbers are 304, 172, 71

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

Apply this formula for all numbers.

Step1:

LCM(304, 172) = 13072

GCD(304, 172) = ( 304 x 172 ) / 13072

= 304 / 172

= 304

Step2:

LCM(4, 71) = 284

GCD(4, 71) = ( 4 x 71 ) / 284

= 4 / 71

= 4

So, Greatest Common Divisor of 304, 172, 71 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 304, 172, 71

Given numbers are 304, 172, 71
The greatest common divisor of numbers 304, 172, 71 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 304, 172, 71 is 1.

FAQs on GCD of 304, 172, 71 Calculator

1. What is the GCD of 304, 172, 71?

GCD of given numbers 304, 172, 71 is 1

2. How to calculate the greatest common divisor of 304, 172, 71?

We can find the highest common divisor of 304, 172, 71 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, 172, 71 i.e 1.

3. How can I use the GCD of 304, 172, 71Calculator?

Out the numbers 304, 172, 71 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.