Where do I get the detailed procedure to find GCD of 984, 144, 508?

You can find a detailed procedure to find GCD of 984, 144, 508 on our page.

How to find GCD of 984, 144, 508 on a calculator?

You can find the GCD of 984, 144, 508 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 984, 144, 508 Calculator

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

Online GCD Calculator is useful to find the GCD of 984, 144, 508 quickly. Get the easiest ways to solve the greatest common divisor of 984, 144, 508 i.e 4 in different methods as follows.

How to Find GCD of Numbers 984, 144, 508 with Factoring?

Given Input numbers are 984, 144, 508

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

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

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 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

GCD of numbers is the greatest common divisor

So, the GCD (984, 144, 508) = 4.

Find GCD of 984, 144, 508 using Prime Factorization

Given numbers are 984, 144, 508

The list of prime factors of all numbers are

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

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

Prime factors of 508 are 2 x 2 x 127

The highest common occurrence is 2²

Therefore, GCD of 984, 144, 508 is 4.

Steps to Calculate GCD of 984, 144, 508 using LCM Formula

Given numbers are 984, 144, 508

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

Apply this formula for all numbers.

Step1:

LCM(984, 144) = 5904

GCD(984, 144) = ( 984 x 144 ) / 5904

= 984 / 144

= 984

Step2:

LCM(24, 508) = 3048

GCD(24, 508) = ( 24 x 508 ) / 3048

= 24 / 508

= 24

So, Greatest Common Divisor of 984, 144, 508 is 4

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 984, 144, 508

Given numbers are 984, 144, 508
The greatest common divisor of numbers 984, 144, 508 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 984, 144, 508 is 4.

FAQs on GCD of 984, 144, 508 Calculator

1. What is the GCD of 984, 144, 508?

GCD of given numbers 984, 144, 508 is 4

2. How to calculate the greatest common divisor of 984, 144, 508?

We can find the highest common divisor of 984, 144, 508 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 984, 144, 508 i.e 4.

3. How can I use the GCD of 984, 144, 508Calculator?

Out the numbers 984, 144, 508 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.