Where do I get the detailed procedure to find GCD of 108, 114, 460?

You can find a detailed procedure to find GCD of 108, 114, 460 on our page.

How to find GCD of 108, 114, 460 on a calculator?

You can find the GCD of 108, 114, 460 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, 114, 460 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, 114, 460 quickly. Get the easiest ways to solve the greatest common divisor of 108, 114, 460 i.e 2 in different methods as follows.

How to Find GCD of Numbers 108, 114, 460 with Factoring?

Given Input numbers are 108, 114, 460

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 114 :

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

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

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

GCD of numbers is the greatest common divisor

So, the GCD (108, 114, 460) = 2.

Find GCD of 108, 114, 460 using Prime Factorization

Given numbers are 108, 114, 460

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 114 are 2 x 3 x 19

Prime factors of 460 are 2 x 2 x 5 x 23

The highest common occurrence is 2¹

Therefore, GCD of 108, 114, 460 is 2.

Steps to Calculate GCD of 108, 114, 460 using LCM Formula

Given numbers are 108, 114, 460

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

Apply this formula for all numbers.

Step1:

LCM(108, 114) = 2052

GCD(108, 114) = ( 108 x 114 ) / 2052

= 108 / 114

= 108

Step2:

LCM(6, 460) = 1380

GCD(6, 460) = ( 6 x 460 ) / 1380

= 6 / 460

= 6

So, Greatest Common Divisor of 108, 114, 460 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 108, 114, 460

Given numbers are 108, 114, 460
The greatest common divisor of numbers 108, 114, 460 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 114, 460 is 2.

FAQs on GCD of 108, 114, 460 Calculator

1. What is the GCD of 108, 114, 460?

GCD of given numbers 108, 114, 460 is 2

2. How to calculate the greatest common divisor of 108, 114, 460?

We can find the highest common divisor of 108, 114, 460 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, 114, 460 i.e 2.

3. How can I use the GCD of 108, 114, 460Calculator?

Out the numbers 108, 114, 460 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.