Where do I get the detailed procedure to find GCD of 360, 184, 82?

You can find a detailed procedure to find GCD of 360, 184, 82 on our page.

How to find GCD of 360, 184, 82 on a calculator?

You can find the GCD of 360, 184, 82 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, 184, 82 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, 184, 82 quickly. Get the easiest ways to solve the greatest common divisor of 360, 184, 82 i.e 2 in different methods as follows.

How to Find GCD of Numbers 360, 184, 82 with Factoring?

Given Input numbers are 360, 184, 82

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 184 :

The positive integer divisors of 184 that completely divides 184 are.

1, 2, 4, 8, 23, 46, 92, 184

Divisors of 82 :

The positive integer divisors of 82 that completely divides 82 are.

1, 2, 41, 82

GCD of numbers is the greatest common divisor

So, the GCD (360, 184, 82) = 2.

Find GCD of 360, 184, 82 using Prime Factorization

Given numbers are 360, 184, 82

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 184 are 2 x 2 x 2 x 23

Prime factors of 82 are 2 x 41

The highest common occurrence is 2¹

Therefore, GCD of 360, 184, 82 is 2.

Steps to Calculate GCD of 360, 184, 82 using LCM Formula

Given numbers are 360, 184, 82

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

Apply this formula for all numbers.

Step1:

LCM(360, 184) = 8280

GCD(360, 184) = ( 360 x 184 ) / 8280

= 360 / 184

= 360

Step2:

LCM(8, 82) = 328

GCD(8, 82) = ( 8 x 82 ) / 328

= 8 / 82

= 8

So, Greatest Common Divisor of 360, 184, 82 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 360, 184, 82

Given numbers are 360, 184, 82
The greatest common divisor of numbers 360, 184, 82 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 184, 82 is 2.

FAQs on GCD of 360, 184, 82 Calculator

1. What is the GCD of 360, 184, 82?

GCD of given numbers 360, 184, 82 is 2

2. How to calculate the greatest common divisor of 360, 184, 82?

We can find the highest common divisor of 360, 184, 82 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, 184, 82 i.e 2.

3. How can I use the GCD of 360, 184, 82Calculator?

Out the numbers 360, 184, 82 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.