Where do I get the detailed procedure to find GCD of 180, 580, 505?

You can find a detailed procedure to find GCD of 180, 580, 505 on our page.

How to find GCD of 180, 580, 505 on a calculator?

You can find the GCD of 180, 580, 505 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 180, 580, 505 Calculator

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

Online GCD Calculator is useful to find the GCD of 180, 580, 505 quickly. Get the easiest ways to solve the greatest common divisor of 180, 580, 505 i.e 5 in different methods as follows.

How to Find GCD of Numbers 180, 580, 505 with Factoring?

Given Input numbers are 180, 580, 505

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

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 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 505 :

The positive integer divisors of 505 that completely divides 505 are.

1, 5, 101, 505

GCD of numbers is the greatest common divisor

So, the GCD (180, 580, 505) = 5.

Find GCD of 180, 580, 505 using Prime Factorization

Given numbers are 180, 580, 505

The list of prime factors of all numbers are

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

Prime factors of 580 are 2 x 2 x 5 x 29

Prime factors of 505 are 5 x 101

The highest common occurrence is 5¹

Therefore, GCD of 180, 580, 505 is 5.

Steps to Calculate GCD of 180, 580, 505 using LCM Formula

Given numbers are 180, 580, 505

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

Apply this formula for all numbers.

Step1:

LCM(180, 580) = 5220

GCD(180, 580) = ( 180 x 580 ) / 5220

= 180 / 580

= 180

Step2:

LCM(20, 505) = 2020

GCD(20, 505) = ( 20 x 505 ) / 2020

= 20 / 505

= 20

So, Greatest Common Divisor of 180, 580, 505 is 5

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 180, 580, 505

Given numbers are 180, 580, 505
The greatest common divisor of numbers 180, 580, 505 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 580, 505 is 5.

FAQs on GCD of 180, 580, 505 Calculator

1. What is the GCD of 180, 580, 505?

GCD of given numbers 180, 580, 505 is 5

2. How to calculate the greatest common divisor of 180, 580, 505?

We can find the highest common divisor of 180, 580, 505 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 180, 580, 505 i.e 5.

3. How can I use the GCD of 180, 580, 505Calculator?

Out the numbers 180, 580, 505 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.