Where do I get the detailed procedure to find GCD of 216, 314, 986?

You can find a detailed procedure to find GCD of 216, 314, 986 on our page.

How to find GCD of 216, 314, 986 on a calculator?

You can find the GCD of 216, 314, 986 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 216, 314, 986 Calculator

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

Online GCD Calculator is useful to find the GCD of 216, 314, 986 quickly. Get the easiest ways to solve the greatest common divisor of 216, 314, 986 i.e 2 in different methods as follows.

How to Find GCD of Numbers 216, 314, 986 with Factoring?

Given Input numbers are 216, 314, 986

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

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

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

Divisors of 986 :

The positive integer divisors of 986 that completely divides 986 are.

1, 2, 17, 29, 34, 58, 493, 986

GCD of numbers is the greatest common divisor

So, the GCD (216, 314, 986) = 2.

Find GCD of 216, 314, 986 using Prime Factorization

Given numbers are 216, 314, 986

The list of prime factors of all numbers are

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

Prime factors of 314 are 2 x 157

Prime factors of 986 are 2 x 17 x 29

The highest common occurrence is 2¹

Therefore, GCD of 216, 314, 986 is 2.

Steps to Calculate GCD of 216, 314, 986 using LCM Formula

Given numbers are 216, 314, 986

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

Apply this formula for all numbers.

Step1:

LCM(216, 314) = 33912

GCD(216, 314) = ( 216 x 314 ) / 33912

= 216 / 314

= 216

Step2:

LCM(2, 986) = 986

GCD(2, 986) = ( 2 x 986 ) / 986

= 2 / 986

= 2

So, Greatest Common Divisor of 216, 314, 986 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 216, 314, 986

Given numbers are 216, 314, 986
The greatest common divisor of numbers 216, 314, 986 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 216, 314, 986 is 2.

FAQs on GCD of 216, 314, 986 Calculator

1. What is the GCD of 216, 314, 986?

GCD of given numbers 216, 314, 986 is 2

2. How to calculate the greatest common divisor of 216, 314, 986?

We can find the highest common divisor of 216, 314, 986 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 216, 314, 986 i.e 2.

3. How can I use the GCD of 216, 314, 986Calculator?

Out the numbers 216, 314, 986 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.