Where do I get the detailed procedure to find GCD of 102, 123, 180?

You can find a detailed procedure to find GCD of 102, 123, 180 on our page.

How to find GCD of 102, 123, 180 on a calculator?

You can find the GCD of 102, 123, 180 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 102, 123, 180 Calculator

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

Online GCD Calculator is useful to find the GCD of 102, 123, 180 quickly. Get the easiest ways to solve the greatest common divisor of 102, 123, 180 i.e 3 in different methods as follows.

How to Find GCD of Numbers 102, 123, 180 with Factoring?

Given Input numbers are 102, 123, 180

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

Divisors of 102 :

The positive integer divisors of 102 that completely divides 102 are.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 123 :

The positive integer divisors of 123 that completely divides 123 are.

1, 3, 41, 123

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

GCD of numbers is the greatest common divisor

So, the GCD (102, 123, 180) = 3.

Find GCD of 102, 123, 180 using Prime Factorization

Given numbers are 102, 123, 180

The list of prime factors of all numbers are

Prime factors of 102 are 2 x 3 x 17

Prime factors of 123 are 3 x 41

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

The highest common occurrence is 3¹

Therefore, GCD of 102, 123, 180 is 3.

Steps to Calculate GCD of 102, 123, 180 using LCM Formula

Given numbers are 102, 123, 180

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

Apply this formula for all numbers.

Step1:

LCM(102, 123) = 4182

GCD(102, 123) = ( 102 x 123 ) / 4182

= 102 / 123

= 102

Step2:

LCM(3, 180) = 180

GCD(3, 180) = ( 3 x 180 ) / 180

= 3 / 180

= 3

So, Greatest Common Divisor of 102, 123, 180 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 102, 123, 180

Given numbers are 102, 123, 180
The greatest common divisor of numbers 102, 123, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 102, 123, 180 is 3.

FAQs on GCD of 102, 123, 180 Calculator

1. What is the GCD of 102, 123, 180?

GCD of given numbers 102, 123, 180 is 3

2. How to calculate the greatest common divisor of 102, 123, 180?

We can find the highest common divisor of 102, 123, 180 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 102, 123, 180 i.e 3.

3. How can I use the GCD of 102, 123, 180Calculator?

Out the numbers 102, 123, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.