Where do I get the detailed procedure to find GCD of 388, 182, 72?

You can find a detailed procedure to find GCD of 388, 182, 72 on our page.

How to find GCD of 388, 182, 72 on a calculator?

You can find the GCD of 388, 182, 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 388, 182, 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 388, 182, 72 quickly. Get the easiest ways to solve the greatest common divisor of 388, 182, 72 i.e 2 in different methods as follows.

How to Find GCD of Numbers 388, 182, 72 with Factoring?

Given Input numbers are 388, 182, 72

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

Divisors of 388 :

The positive integer divisors of 388 that completely divides 388 are.

1, 2, 4, 97, 194, 388

Divisors of 182 :

The positive integer divisors of 182 that completely divides 182 are.

1, 2, 7, 13, 14, 26, 91, 182

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 (388, 182, 72) = 2.

Find GCD of 388, 182, 72 using Prime Factorization

Given numbers are 388, 182, 72

The list of prime factors of all numbers are

Prime factors of 388 are 2 x 2 x 97

Prime factors of 182 are 2 x 7 x 13

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

The highest common occurrence is 2¹

Therefore, GCD of 388, 182, 72 is 2.

Steps to Calculate GCD of 388, 182, 72 using LCM Formula

Given numbers are 388, 182, 72

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

Apply this formula for all numbers.

Step1:

LCM(388, 182) = 35308

GCD(388, 182) = ( 388 x 182 ) / 35308

= 388 / 182

= 388

Step2:

LCM(2, 72) = 72

GCD(2, 72) = ( 2 x 72 ) / 72

= 2 / 72

= 2

So, Greatest Common Divisor of 388, 182, 72 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 388, 182, 72

Given numbers are 388, 182, 72
The greatest common divisor of numbers 388, 182, 72 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 388, 182, 72 is 2.

FAQs on GCD of 388, 182, 72 Calculator

1. What is the GCD of 388, 182, 72?

GCD of given numbers 388, 182, 72 is 2

2. How to calculate the greatest common divisor of 388, 182, 72?

We can find the highest common divisor of 388, 182, 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 388, 182, 72 i.e 2.

3. How can I use the GCD of 388, 182, 72Calculator?

Out the numbers 388, 182, 72 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.