Where do I get the detailed procedure to find GCD of 138, 404, 290?

You can find a detailed procedure to find GCD of 138, 404, 290 on our page.

How to find GCD of 138, 404, 290 on a calculator?

You can find the GCD of 138, 404, 290 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 138, 404, 290 Calculator

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

Online GCD Calculator is useful to find the GCD of 138, 404, 290 quickly. Get the easiest ways to solve the greatest common divisor of 138, 404, 290 i.e 2 in different methods as follows.

How to Find GCD of Numbers 138, 404, 290 with Factoring?

Given Input numbers are 138, 404, 290

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

Divisors of 138 :

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

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

Divisors of 404 :

The positive integer divisors of 404 that completely divides 404 are.

1, 2, 4, 101, 202, 404

Divisors of 290 :

The positive integer divisors of 290 that completely divides 290 are.

1, 2, 5, 10, 29, 58, 145, 290

GCD of numbers is the greatest common divisor

So, the GCD (138, 404, 290) = 2.

Find GCD of 138, 404, 290 using Prime Factorization

Given numbers are 138, 404, 290

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 404 are 2 x 2 x 101

Prime factors of 290 are 2 x 5 x 29

The highest common occurrence is 2¹

Therefore, GCD of 138, 404, 290 is 2.

Steps to Calculate GCD of 138, 404, 290 using LCM Formula

Given numbers are 138, 404, 290

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

Apply this formula for all numbers.

Step1:

LCM(138, 404) = 27876

GCD(138, 404) = ( 138 x 404 ) / 27876

= 138 / 404

= 138

Step2:

LCM(2, 290) = 290

GCD(2, 290) = ( 2 x 290 ) / 290

= 2 / 290

= 2

So, Greatest Common Divisor of 138, 404, 290 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 138, 404, 290

Given numbers are 138, 404, 290
The greatest common divisor of numbers 138, 404, 290 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 404, 290 is 2.

FAQs on GCD of 138, 404, 290 Calculator

1. What is the GCD of 138, 404, 290?

GCD of given numbers 138, 404, 290 is 2

2. How to calculate the greatest common divisor of 138, 404, 290?

We can find the highest common divisor of 138, 404, 290 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 138, 404, 290 i.e 2.

3. How can I use the GCD of 138, 404, 290Calculator?

Out the numbers 138, 404, 290 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.