Where do I get the detailed procedure to find GCD of 300, 480, 360?

You can find a detailed procedure to find GCD of 300, 480, 360 on our page.

How to find GCD of 300, 480, 360 on a calculator?

You can find the GCD of 300, 480, 360 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, 480, 360 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, 480, 360 quickly. Get the easiest ways to solve the greatest common divisor of 300, 480, 360 i.e 60 in different methods as follows.

How to Find GCD of Numbers 300, 480, 360 with Factoring?

Given Input numbers are 300, 480, 360

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 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

GCD of numbers is the greatest common divisor

So, the GCD (300, 480, 360) = 60.

Find GCD of 300, 480, 360 using Prime Factorization

Given numbers are 300, 480, 360

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 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

The highest common occurrence is 2² x 3¹ x 5¹

Therefore, GCD of 300, 480, 360 is 60.

Steps to Calculate GCD of 300, 480, 360 using LCM Formula

Given numbers are 300, 480, 360

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

Apply this formula for all numbers.

Step1:

LCM(300, 480) = 2400

GCD(300, 480) = ( 300 x 480 ) / 2400

= 300 / 480

= 300

Step2:

LCM(60, 360) = 360

GCD(60, 360) = ( 60 x 360 ) / 360

= 60 / 360

= 60

So, Greatest Common Divisor of 300, 480, 360 is 60

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 300, 480, 360

Given numbers are 300, 480, 360
The greatest common divisor of numbers 300, 480, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 300, 480, 360 is 60.

FAQs on GCD of 300, 480, 360 Calculator

1. What is the GCD of 300, 480, 360?

GCD of given numbers 300, 480, 360 is 60

2. How to calculate the greatest common divisor of 300, 480, 360?

We can find the highest common divisor of 300, 480, 360 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, 480, 360 i.e 60.

3. How can I use the GCD of 300, 480, 360Calculator?

Out the numbers 300, 480, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.