Where do I get the detailed procedure to find GCD of 108, 756, 123?

You can find a detailed procedure to find GCD of 108, 756, 123 on our page.

How to find GCD of 108, 756, 123 on a calculator?

You can find the GCD of 108, 756, 123 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 108, 756, 123 Calculator

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

Online GCD Calculator is useful to find the GCD of 108, 756, 123 quickly. Get the easiest ways to solve the greatest common divisor of 108, 756, 123 i.e 3 in different methods as follows.

How to Find GCD of Numbers 108, 756, 123 with Factoring?

Given Input numbers are 108, 756, 123

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

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 123 :

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

1, 3, 41, 123

GCD of numbers is the greatest common divisor

So, the GCD (108, 756, 123) = 3.

Find GCD of 108, 756, 123 using Prime Factorization

Given numbers are 108, 756, 123

The list of prime factors of all numbers are

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

Prime factors of 123 are 3 x 41

The highest common occurrence is 3¹

Therefore, GCD of 108, 756, 123 is 3.

Steps to Calculate GCD of 108, 756, 123 using LCM Formula

Given numbers are 108, 756, 123

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

Apply this formula for all numbers.

Step1:

LCM(108, 756) = 756

GCD(108, 756) = ( 108 x 756 ) / 756

= 108 / 756

= 108

Step2:

LCM(108, 123) = 4428

GCD(108, 123) = ( 108 x 123 ) / 4428

= 108 / 123

= 108

So, Greatest Common Divisor of 108, 756, 123 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 108, 756, 123

Given numbers are 108, 756, 123
The greatest common divisor of numbers 108, 756, 123 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 756, 123 is 3.

FAQs on GCD of 108, 756, 123 Calculator

1. What is the GCD of 108, 756, 123?

GCD of given numbers 108, 756, 123 is 3

2. How to calculate the greatest common divisor of 108, 756, 123?

We can find the highest common divisor of 108, 756, 123 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 108, 756, 123 i.e 3.

3. How can I use the GCD of 108, 756, 123Calculator?

Out the numbers 108, 756, 123 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.