Where do I get the detailed procedure to find GCD of 272, 404, 72?

You can find a detailed procedure to find GCD of 272, 404, 72 on our page.

How to find GCD of 272, 404, 72 on a calculator?

You can find the GCD of 272, 404, 72 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 272, 404, 72 Calculator

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

Online GCD Calculator is useful to find the GCD of 272, 404, 72 quickly. Get the easiest ways to solve the greatest common divisor of 272, 404, 72 i.e 4 in different methods as follows.

How to Find GCD of Numbers 272, 404, 72 with Factoring?

Given Input numbers are 272, 404, 72

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

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 404 :

The positive integer divisors of 404 that completely divides 404 are.

1, 2, 4, 101, 202, 404

Divisors of 72 :

The positive integer divisors of 72 that completely divides 72 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (272, 404, 72) = 4.

Find GCD of 272, 404, 72 using Prime Factorization

Given numbers are 272, 404, 72

The list of prime factors of all numbers are

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

Prime factors of 404 are 2 x 2 x 101

Prime factors of 72 are 2 x 2 x 2 x 3 x 3

The highest common occurrence is 2²

Therefore, GCD of 272, 404, 72 is 4.

Steps to Calculate GCD of 272, 404, 72 using LCM Formula

Given numbers are 272, 404, 72

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

Apply this formula for all numbers.

Step1:

LCM(272, 404) = 27472

GCD(272, 404) = ( 272 x 404 ) / 27472

= 272 / 404

= 272

Step2:

LCM(4, 72) = 72

GCD(4, 72) = ( 4 x 72 ) / 72

= 4 / 72

= 4

So, Greatest Common Divisor of 272, 404, 72 is 4

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 272, 404, 72

Given numbers are 272, 404, 72
The greatest common divisor of numbers 272, 404, 72 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 404, 72 is 4.

FAQs on GCD of 272, 404, 72 Calculator

1. What is the GCD of 272, 404, 72?

GCD of given numbers 272, 404, 72 is 4

2. How to calculate the greatest common divisor of 272, 404, 72?

We can find the highest common divisor of 272, 404, 72 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 272, 404, 72 i.e 4.

3. How can I use the GCD of 272, 404, 72Calculator?

Out the numbers 272, 404, 72 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.