Where do I get the detailed procedure to find GCD of 508, 114, 18?

You can find a detailed procedure to find GCD of 508, 114, 18 on our page.

How to find GCD of 508, 114, 18 on a calculator?

You can find the GCD of 508, 114, 18 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 508, 114, 18 Calculator

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

Online GCD Calculator is useful to find the GCD of 508, 114, 18 quickly. Get the easiest ways to solve the greatest common divisor of 508, 114, 18 i.e 2 in different methods as follows.

How to Find GCD of Numbers 508, 114, 18 with Factoring?

Given Input numbers are 508, 114, 18

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

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 18 :

The positive integer divisors of 18 that completely divides 18 are.

1, 2, 3, 6, 9, 18

GCD of numbers is the greatest common divisor

So, the GCD (508, 114, 18) = 2.

Find GCD of 508, 114, 18 using Prime Factorization

Given numbers are 508, 114, 18

The list of prime factors of all numbers are

Prime factors of 508 are 2 x 2 x 127

Prime factors of 114 are 2 x 3 x 19

Prime factors of 18 are 2 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 508, 114, 18 is 2.

Steps to Calculate GCD of 508, 114, 18 using LCM Formula

Given numbers are 508, 114, 18

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

Apply this formula for all numbers.

Step1:

LCM(508, 114) = 28956

GCD(508, 114) = ( 508 x 114 ) / 28956

= 508 / 114

= 508

Step2:

LCM(2, 18) = 18

GCD(2, 18) = ( 2 x 18 ) / 18

= 2 / 18

= 2

So, Greatest Common Divisor of 508, 114, 18 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 508, 114, 18

Given numbers are 508, 114, 18
The greatest common divisor of numbers 508, 114, 18 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 508, 114, 18 is 2.

FAQs on GCD of 508, 114, 18 Calculator

1. What is the GCD of 508, 114, 18?

GCD of given numbers 508, 114, 18 is 2

2. How to calculate the greatest common divisor of 508, 114, 18?

We can find the highest common divisor of 508, 114, 18 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 508, 114, 18 i.e 2.

3. How can I use the GCD of 508, 114, 18Calculator?

Out the numbers 508, 114, 18 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.