Where do I get the detailed procedure to find GCD of 112, 870, 216?

You can find a detailed procedure to find GCD of 112, 870, 216 on our page.

How to find GCD of 112, 870, 216 on a calculator?

You can find the GCD of 112, 870, 216 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 112, 870, 216 Calculator

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

Online GCD Calculator is useful to find the GCD of 112, 870, 216 quickly. Get the easiest ways to solve the greatest common divisor of 112, 870, 216 i.e 2 in different methods as follows.

How to Find GCD of Numbers 112, 870, 216 with Factoring?

Given Input numbers are 112, 870, 216

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

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

GCD of numbers is the greatest common divisor

So, the GCD (112, 870, 216) = 2.

Find GCD of 112, 870, 216 using Prime Factorization

Given numbers are 112, 870, 216

The list of prime factors of all numbers are

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 870 are 2 x 3 x 5 x 29

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 112, 870, 216 is 2.

Steps to Calculate GCD of 112, 870, 216 using LCM Formula

Given numbers are 112, 870, 216

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

Apply this formula for all numbers.

Step1:

LCM(112, 870) = 48720

GCD(112, 870) = ( 112 x 870 ) / 48720

= 112 / 870

= 112

Step2:

LCM(2, 216) = 216

GCD(2, 216) = ( 2 x 216 ) / 216

= 2 / 216

= 2

So, Greatest Common Divisor of 112, 870, 216 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 112, 870, 216

Given numbers are 112, 870, 216
The greatest common divisor of numbers 112, 870, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 870, 216 is 2.

FAQs on GCD of 112, 870, 216 Calculator

1. What is the GCD of 112, 870, 216?

GCD of given numbers 112, 870, 216 is 2

2. How to calculate the greatest common divisor of 112, 870, 216?

We can find the highest common divisor of 112, 870, 216 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 112, 870, 216 i.e 2.

3. How can I use the GCD of 112, 870, 216Calculator?

Out the numbers 112, 870, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.