Where do I get the detailed procedure to find GCD of 360, 180, 240?

You can find a detailed procedure to find GCD of 360, 180, 240 on our page.

How to find GCD of 360, 180, 240 on a calculator?

You can find the GCD of 360, 180, 240 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 360, 180, 240 Calculator

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

Online GCD Calculator is useful to find the GCD of 360, 180, 240 quickly. Get the easiest ways to solve the greatest common divisor of 360, 180, 240 i.e 60 in different methods as follows.

How to Find GCD of Numbers 360, 180, 240 with Factoring?

Given Input numbers are 360, 180, 240

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

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

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (360, 180, 240) = 60.

Find GCD of 360, 180, 240 using Prime Factorization

Given numbers are 360, 180, 240

The list of prime factors of all numbers are

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

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

The highest common occurrence is 2² x 3¹ x 5¹

Therefore, GCD of 360, 180, 240 is 60.

Steps to Calculate GCD of 360, 180, 240 using LCM Formula

Given numbers are 360, 180, 240

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

Apply this formula for all numbers.

Step1:

LCM(360, 180) = 360

GCD(360, 180) = ( 360 x 180 ) / 360

= 360 / 180

= 360

Step2:

LCM(180, 240) = 720

GCD(180, 240) = ( 180 x 240 ) / 720

= 180 / 240

= 180

So, Greatest Common Divisor of 360, 180, 240 is 60

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 360, 180, 240

Given numbers are 360, 180, 240
The greatest common divisor of numbers 360, 180, 240 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 180, 240 is 60.

FAQs on GCD of 360, 180, 240 Calculator

1. What is the GCD of 360, 180, 240?

GCD of given numbers 360, 180, 240 is 60

2. How to calculate the greatest common divisor of 360, 180, 240?

We can find the highest common divisor of 360, 180, 240 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 360, 180, 240 i.e 60.

3. How can I use the GCD of 360, 180, 240Calculator?

Out the numbers 360, 180, 240 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.