Where do I get the detailed procedure to find GCD of 744, 144, 524?

You can find a detailed procedure to find GCD of 744, 144, 524 on our page.

How to find GCD of 744, 144, 524 on a calculator?

You can find the GCD of 744, 144, 524 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 744, 144, 524 Calculator

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

Online GCD Calculator is useful to find the GCD of 744, 144, 524 quickly. Get the easiest ways to solve the greatest common divisor of 744, 144, 524 i.e 4 in different methods as follows.

How to Find GCD of Numbers 744, 144, 524 with Factoring?

Given Input numbers are 744, 144, 524

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

Divisors of 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

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 524 :

The positive integer divisors of 524 that completely divides 524 are.

1, 2, 4, 131, 262, 524

GCD of numbers is the greatest common divisor

So, the GCD (744, 144, 524) = 4.

Find GCD of 744, 144, 524 using Prime Factorization

Given numbers are 744, 144, 524

The list of prime factors of all numbers are

Prime factors of 744 are 2 x 2 x 2 x 3 x 31

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

Prime factors of 524 are 2 x 2 x 131

The highest common occurrence is 2²

Therefore, GCD of 744, 144, 524 is 4.

Steps to Calculate GCD of 744, 144, 524 using LCM Formula

Given numbers are 744, 144, 524

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

Apply this formula for all numbers.

Step1:

LCM(744, 144) = 4464

GCD(744, 144) = ( 744 x 144 ) / 4464

= 744 / 144

= 744

Step2:

LCM(24, 524) = 3144

GCD(24, 524) = ( 24 x 524 ) / 3144

= 24 / 524

= 24

So, Greatest Common Divisor of 744, 144, 524 is 4

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 744, 144, 524

Given numbers are 744, 144, 524
The greatest common divisor of numbers 744, 144, 524 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 744, 144, 524 is 4.

FAQs on GCD of 744, 144, 524 Calculator

1. What is the GCD of 744, 144, 524?

GCD of given numbers 744, 144, 524 is 4

2. How to calculate the greatest common divisor of 744, 144, 524?

We can find the highest common divisor of 744, 144, 524 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 744, 144, 524 i.e 4.

3. How can I use the GCD of 744, 144, 524Calculator?

Out the numbers 744, 144, 524 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.