Where do I get the detailed procedure to find GCD of 144, 270, 786?

You can find a detailed procedure to find GCD of 144, 270, 786 on our page.

How to find GCD of 144, 270, 786 on a calculator?

You can find the GCD of 144, 270, 786 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, 270, 786 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, 270, 786 quickly. Get the easiest ways to solve the greatest common divisor of 144, 270, 786 i.e 6 in different methods as follows.

How to Find GCD of Numbers 144, 270, 786 with Factoring?

Given Input numbers are 144, 270, 786

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 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 786 :

The positive integer divisors of 786 that completely divides 786 are.

1, 2, 3, 6, 131, 262, 393, 786

GCD of numbers is the greatest common divisor

So, the GCD (144, 270, 786) = 6.

Find GCD of 144, 270, 786 using Prime Factorization

Given numbers are 144, 270, 786

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 270 are 2 x 3 x 3 x 3 x 5

Prime factors of 786 are 2 x 3 x 131

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 144, 270, 786 is 6.

Steps to Calculate GCD of 144, 270, 786 using LCM Formula

Given numbers are 144, 270, 786

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

Apply this formula for all numbers.

Step1:

LCM(144, 270) = 2160

GCD(144, 270) = ( 144 x 270 ) / 2160

= 144 / 270

= 144

Step2:

LCM(18, 786) = 2358

GCD(18, 786) = ( 18 x 786 ) / 2358

= 18 / 786

= 18

So, Greatest Common Divisor of 144, 270, 786 is 6

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 144, 270, 786

Given numbers are 144, 270, 786
The greatest common divisor of numbers 144, 270, 786 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 270, 786 is 6.

FAQs on GCD of 144, 270, 786 Calculator

1. What is the GCD of 144, 270, 786?

GCD of given numbers 144, 270, 786 is 6

2. How to calculate the greatest common divisor of 144, 270, 786?

We can find the highest common divisor of 144, 270, 786 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, 270, 786 i.e 6.

3. How can I use the GCD of 144, 270, 786Calculator?

Out the numbers 144, 270, 786 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.