Where do I get the detailed procedure to find GCD of 214, 658, 314?

You can find a detailed procedure to find GCD of 214, 658, 314 on our page.

How to find GCD of 214, 658, 314 on a calculator?

You can find the GCD of 214, 658, 314 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 214, 658, 314 Calculator

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

Online GCD Calculator is useful to find the GCD of 214, 658, 314 quickly. Get the easiest ways to solve the greatest common divisor of 214, 658, 314 i.e 2 in different methods as follows.

How to Find GCD of Numbers 214, 658, 314 with Factoring?

Given Input numbers are 214, 658, 314

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

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

Divisors of 658 :

The positive integer divisors of 658 that completely divides 658 are.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 314 :

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

1, 2, 157, 314

GCD of numbers is the greatest common divisor

So, the GCD (214, 658, 314) = 2.

Find GCD of 214, 658, 314 using Prime Factorization

Given numbers are 214, 658, 314

The list of prime factors of all numbers are

Prime factors of 214 are 2 x 107

Prime factors of 658 are 2 x 7 x 47

Prime factors of 314 are 2 x 157

The highest common occurrence is 2¹

Therefore, GCD of 214, 658, 314 is 2.

Steps to Calculate GCD of 214, 658, 314 using LCM Formula

Given numbers are 214, 658, 314

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

Apply this formula for all numbers.

Step1:

LCM(214, 658) = 70406

GCD(214, 658) = ( 214 x 658 ) / 70406

= 214 / 658

= 214

Step2:

LCM(2, 314) = 314

GCD(2, 314) = ( 2 x 314 ) / 314

= 2 / 314

= 2

So, Greatest Common Divisor of 214, 658, 314 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 214, 658, 314

Given numbers are 214, 658, 314
The greatest common divisor of numbers 214, 658, 314 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 214, 658, 314 is 2.

FAQs on GCD of 214, 658, 314 Calculator

1. What is the GCD of 214, 658, 314?

GCD of given numbers 214, 658, 314 is 2

2. How to calculate the greatest common divisor of 214, 658, 314?

We can find the highest common divisor of 214, 658, 314 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 214, 658, 314 i.e 2.

3. How can I use the GCD of 214, 658, 314Calculator?

Out the numbers 214, 658, 314 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.