Where do I get the detailed procedure to find GCD of 255, 180, 159?

You can find a detailed procedure to find GCD of 255, 180, 159 on our page.

How to find GCD of 255, 180, 159 on a calculator?

You can find the GCD of 255, 180, 159 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 255, 180, 159 Calculator

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

Online GCD Calculator is useful to find the GCD of 255, 180, 159 quickly. Get the easiest ways to solve the greatest common divisor of 255, 180, 159 i.e 3 in different methods as follows.

How to Find GCD of Numbers 255, 180, 159 with Factoring?

Given Input numbers are 255, 180, 159

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

Divisors of 255 :

The positive integer divisors of 255 that completely divides 255 are.

1, 3, 5, 15, 17, 51, 85, 255

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 159 :

The positive integer divisors of 159 that completely divides 159 are.

1, 3, 53, 159

GCD of numbers is the greatest common divisor

So, the GCD (255, 180, 159) = 3.

Find GCD of 255, 180, 159 using Prime Factorization

Given numbers are 255, 180, 159

The list of prime factors of all numbers are

Prime factors of 255 are 3 x 5 x 17

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

Prime factors of 159 are 3 x 53

The highest common occurrence is 3¹

Therefore, GCD of 255, 180, 159 is 3.

Steps to Calculate GCD of 255, 180, 159 using LCM Formula

Given numbers are 255, 180, 159

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

Apply this formula for all numbers.

Step1:

LCM(255, 180) = 3060

GCD(255, 180) = ( 255 x 180 ) / 3060

= 255 / 180

= 255

Step2:

LCM(15, 159) = 795

GCD(15, 159) = ( 15 x 159 ) / 795

= 15 / 159

= 15

So, Greatest Common Divisor of 255, 180, 159 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 255, 180, 159

Given numbers are 255, 180, 159
The greatest common divisor of numbers 255, 180, 159 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 255, 180, 159 is 3.

FAQs on GCD of 255, 180, 159 Calculator

1. What is the GCD of 255, 180, 159?

GCD of given numbers 255, 180, 159 is 3

2. How to calculate the greatest common divisor of 255, 180, 159?

We can find the highest common divisor of 255, 180, 159 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 255, 180, 159 i.e 3.

3. How can I use the GCD of 255, 180, 159Calculator?

Out the numbers 255, 180, 159 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.