Where do I get the detailed procedure to find GCD of 123, 708, 138?

You can find a detailed procedure to find GCD of 123, 708, 138 on our page.

How to find GCD of 123, 708, 138 on a calculator?

You can find the GCD of 123, 708, 138 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 123, 708, 138 Calculator

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

Online GCD Calculator is useful to find the GCD of 123, 708, 138 quickly. Get the easiest ways to solve the greatest common divisor of 123, 708, 138 i.e 3 in different methods as follows.

How to Find GCD of Numbers 123, 708, 138 with Factoring?

Given Input numbers are 123, 708, 138

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

Divisors of 123 :

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

1, 3, 41, 123

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

GCD of numbers is the greatest common divisor

So, the GCD (123, 708, 138) = 3.

Find GCD of 123, 708, 138 using Prime Factorization

Given numbers are 123, 708, 138

The list of prime factors of all numbers are

Prime factors of 123 are 3 x 41

Prime factors of 708 are 2 x 2 x 3 x 59

Prime factors of 138 are 2 x 3 x 23

The highest common occurrence is 3¹

Therefore, GCD of 123, 708, 138 is 3.

Steps to Calculate GCD of 123, 708, 138 using LCM Formula

Given numbers are 123, 708, 138

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

Apply this formula for all numbers.

Step1:

LCM(123, 708) = 29028

GCD(123, 708) = ( 123 x 708 ) / 29028

= 123 / 708

= 123

Step2:

LCM(3, 138) = 138

GCD(3, 138) = ( 3 x 138 ) / 138

= 3 / 138

= 3

So, Greatest Common Divisor of 123, 708, 138 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 123, 708, 138

Given numbers are 123, 708, 138
The greatest common divisor of numbers 123, 708, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 123, 708, 138 is 3.

FAQs on GCD of 123, 708, 138 Calculator

1. What is the GCD of 123, 708, 138?

GCD of given numbers 123, 708, 138 is 3

2. How to calculate the greatest common divisor of 123, 708, 138?

We can find the highest common divisor of 123, 708, 138 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 123, 708, 138 i.e 3.

3. How can I use the GCD of 123, 708, 138Calculator?

Out the numbers 123, 708, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.