Where do I get the detailed procedure to find GCD of 747, 144, 687?

You can find a detailed procedure to find GCD of 747, 144, 687 on our page.

How to find GCD of 747, 144, 687 on a calculator?

You can find the GCD of 747, 144, 687 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 747, 144, 687 Calculator

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

Online GCD Calculator is useful to find the GCD of 747, 144, 687 quickly. Get the easiest ways to solve the greatest common divisor of 747, 144, 687 i.e 3 in different methods as follows.

How to Find GCD of Numbers 747, 144, 687 with Factoring?

Given Input numbers are 747, 144, 687

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

Divisors of 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

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 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

GCD of numbers is the greatest common divisor

So, the GCD (747, 144, 687) = 3.

Find GCD of 747, 144, 687 using Prime Factorization

Given numbers are 747, 144, 687

The list of prime factors of all numbers are

Prime factors of 747 are 3 x 3 x 83

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

Prime factors of 687 are 3 x 229

The highest common occurrence is 3¹

Therefore, GCD of 747, 144, 687 is 3.

Steps to Calculate GCD of 747, 144, 687 using LCM Formula

Given numbers are 747, 144, 687

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

Apply this formula for all numbers.

Step1:

LCM(747, 144) = 11952

GCD(747, 144) = ( 747 x 144 ) / 11952

= 747 / 144

= 747

Step2:

LCM(9, 687) = 2061

GCD(9, 687) = ( 9 x 687 ) / 2061

= 9 / 687

= 9

So, Greatest Common Divisor of 747, 144, 687 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 747, 144, 687

Given numbers are 747, 144, 687
The greatest common divisor of numbers 747, 144, 687 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 747, 144, 687 is 3.

FAQs on GCD of 747, 144, 687 Calculator

1. What is the GCD of 747, 144, 687?

GCD of given numbers 747, 144, 687 is 3

2. How to calculate the greatest common divisor of 747, 144, 687?

We can find the highest common divisor of 747, 144, 687 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 747, 144, 687 i.e 3.

3. How can I use the GCD of 747, 144, 687Calculator?

Out the numbers 747, 144, 687 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.