Where do I get the detailed procedure to find GCD of 180, 105, 321?

You can find a detailed procedure to find GCD of 180, 105, 321 on our page.

How to find GCD of 180, 105, 321 on a calculator?

You can find the GCD of 180, 105, 321 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, 105, 321 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, 105, 321 quickly. Get the easiest ways to solve the greatest common divisor of 180, 105, 321 i.e 3 in different methods as follows.

How to Find GCD of Numbers 180, 105, 321 with Factoring?

Given Input numbers are 180, 105, 321

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 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 321 :

The positive integer divisors of 321 that completely divides 321 are.

1, 3, 107, 321

GCD of numbers is the greatest common divisor

So, the GCD (180, 105, 321) = 3.

Find GCD of 180, 105, 321 using Prime Factorization

Given numbers are 180, 105, 321

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 105 are 3 x 5 x 7

Prime factors of 321 are 3 x 107

The highest common occurrence is 3¹

Therefore, GCD of 180, 105, 321 is 3.

Steps to Calculate GCD of 180, 105, 321 using LCM Formula

Given numbers are 180, 105, 321

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

Apply this formula for all numbers.

Step1:

LCM(180, 105) = 1260

GCD(180, 105) = ( 180 x 105 ) / 1260

= 180 / 105

= 180

Step2:

LCM(15, 321) = 1605

GCD(15, 321) = ( 15 x 321 ) / 1605

= 15 / 321

= 15

So, Greatest Common Divisor of 180, 105, 321 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 180, 105, 321

Given numbers are 180, 105, 321
The greatest common divisor of numbers 180, 105, 321 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 105, 321 is 3.

FAQs on GCD of 180, 105, 321 Calculator

1. What is the GCD of 180, 105, 321?

GCD of given numbers 180, 105, 321 is 3

2. How to calculate the greatest common divisor of 180, 105, 321?

We can find the highest common divisor of 180, 105, 321 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, 105, 321 i.e 3.

3. How can I use the GCD of 180, 105, 321Calculator?

Out the numbers 180, 105, 321 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.