Where do I get the detailed procedure to find GCD of 180, 981, 423?

You can find a detailed procedure to find GCD of 180, 981, 423 on our page.

How to find GCD of 180, 981, 423 on a calculator?

You can find the GCD of 180, 981, 423 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, 981, 423 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, 981, 423 quickly. Get the easiest ways to solve the greatest common divisor of 180, 981, 423 i.e 9 in different methods as follows.

How to Find GCD of Numbers 180, 981, 423 with Factoring?

Given Input numbers are 180, 981, 423

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 981 :

The positive integer divisors of 981 that completely divides 981 are.

1, 3, 9, 109, 327, 981

Divisors of 423 :

The positive integer divisors of 423 that completely divides 423 are.

1, 3, 9, 47, 141, 423

GCD of numbers is the greatest common divisor

So, the GCD (180, 981, 423) = 9.

Find GCD of 180, 981, 423 using Prime Factorization

Given numbers are 180, 981, 423

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 981 are 3 x 3 x 109

Prime factors of 423 are 3 x 3 x 47

The highest common occurrence is 3²

Therefore, GCD of 180, 981, 423 is 9.

Steps to Calculate GCD of 180, 981, 423 using LCM Formula

Given numbers are 180, 981, 423

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

Apply this formula for all numbers.

Step1:

LCM(180, 981) = 19620

GCD(180, 981) = ( 180 x 981 ) / 19620

= 180 / 981

= 180

Step2:

LCM(9, 423) = 423

GCD(9, 423) = ( 9 x 423 ) / 423

= 9 / 423

= 9

So, Greatest Common Divisor of 180, 981, 423 is 9

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 180, 981, 423

Given numbers are 180, 981, 423
The greatest common divisor of numbers 180, 981, 423 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 981, 423 is 9.

FAQs on GCD of 180, 981, 423 Calculator

1. What is the GCD of 180, 981, 423?

GCD of given numbers 180, 981, 423 is 9

2. How to calculate the greatest common divisor of 180, 981, 423?

We can find the highest common divisor of 180, 981, 423 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, 981, 423 i.e 9.

3. How can I use the GCD of 180, 981, 423Calculator?

Out the numbers 180, 981, 423 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.