Where do I get the detailed procedure to find GCD of 300, 474, 144?

You can find a detailed procedure to find GCD of 300, 474, 144 on our page.

How to find GCD of 300, 474, 144 on a calculator?

You can find the GCD of 300, 474, 144 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 300, 474, 144 Calculator

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

Online GCD Calculator is useful to find the GCD of 300, 474, 144 quickly. Get the easiest ways to solve the greatest common divisor of 300, 474, 144 i.e 6 in different methods as follows.

How to Find GCD of Numbers 300, 474, 144 with Factoring?

Given Input numbers are 300, 474, 144

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

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

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

GCD of numbers is the greatest common divisor

So, the GCD (300, 474, 144) = 6.

Find GCD of 300, 474, 144 using Prime Factorization

Given numbers are 300, 474, 144

The list of prime factors of all numbers are

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 474 are 2 x 3 x 79

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

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 300, 474, 144 is 6.

Steps to Calculate GCD of 300, 474, 144 using LCM Formula

Given numbers are 300, 474, 144

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

Apply this formula for all numbers.

Step1:

LCM(300, 474) = 23700

GCD(300, 474) = ( 300 x 474 ) / 23700

= 300 / 474

= 300

Step2:

LCM(6, 144) = 144

GCD(6, 144) = ( 6 x 144 ) / 144

= 6 / 144

= 6

So, Greatest Common Divisor of 300, 474, 144 is 6

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 300, 474, 144

Given numbers are 300, 474, 144
The greatest common divisor of numbers 300, 474, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 300, 474, 144 is 6.

FAQs on GCD of 300, 474, 144 Calculator

1. What is the GCD of 300, 474, 144?

GCD of given numbers 300, 474, 144 is 6

2. How to calculate the greatest common divisor of 300, 474, 144?

We can find the highest common divisor of 300, 474, 144 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 300, 474, 144 i.e 6.

3. How can I use the GCD of 300, 474, 144Calculator?

Out the numbers 300, 474, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.