Where do I get the detailed procedure to find GCD of 144, 388, 36?

You can find a detailed procedure to find GCD of 144, 388, 36 on our page.

How to find GCD of 144, 388, 36 on a calculator?

You can find the GCD of 144, 388, 36 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 144, 388, 36 Calculator

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

Online GCD Calculator is useful to find the GCD of 144, 388, 36 quickly. Get the easiest ways to solve the greatest common divisor of 144, 388, 36 i.e 4 in different methods as follows.

How to Find GCD of Numbers 144, 388, 36 with Factoring?

Given Input numbers are 144, 388, 36

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

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 388 :

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

1, 2, 4, 97, 194, 388

Divisors of 36 :

The positive integer divisors of 36 that completely divides 36 are.

1, 2, 3, 4, 6, 9, 12, 18, 36

GCD of numbers is the greatest common divisor

So, the GCD (144, 388, 36) = 4.

Find GCD of 144, 388, 36 using Prime Factorization

Given numbers are 144, 388, 36

The list of prime factors of all numbers are

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

Prime factors of 388 are 2 x 2 x 97

Prime factors of 36 are 2 x 2 x 3 x 3

The highest common occurrence is 2²

Therefore, GCD of 144, 388, 36 is 4.

Steps to Calculate GCD of 144, 388, 36 using LCM Formula

Given numbers are 144, 388, 36

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

Apply this formula for all numbers.

Step1:

LCM(144, 388) = 13968

GCD(144, 388) = ( 144 x 388 ) / 13968

= 144 / 388

= 144

Step2:

LCM(4, 36) = 36

GCD(4, 36) = ( 4 x 36 ) / 36

= 4 / 36

= 4

So, Greatest Common Divisor of 144, 388, 36 is 4

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 144, 388, 36

Given numbers are 144, 388, 36
The greatest common divisor of numbers 144, 388, 36 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 388, 36 is 4.

FAQs on GCD of 144, 388, 36 Calculator

1. What is the GCD of 144, 388, 36?

GCD of given numbers 144, 388, 36 is 4

2. How to calculate the greatest common divisor of 144, 388, 36?

We can find the highest common divisor of 144, 388, 36 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 144, 388, 36 i.e 4.

3. How can I use the GCD of 144, 388, 36Calculator?

Out the numbers 144, 388, 36 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.