Where do I get the detailed procedure to find GCD of 706, 428, 214?

You can find a detailed procedure to find GCD of 706, 428, 214 on our page.

How to find GCD of 706, 428, 214 on a calculator?

You can find the GCD of 706, 428, 214 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 706, 428, 214 Calculator

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

Online GCD Calculator is useful to find the GCD of 706, 428, 214 quickly. Get the easiest ways to solve the greatest common divisor of 706, 428, 214 i.e 2 in different methods as follows.

How to Find GCD of Numbers 706, 428, 214 with Factoring?

Given Input numbers are 706, 428, 214

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

Divisors of 706 :

The positive integer divisors of 706 that completely divides 706 are.

1, 2, 353, 706

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

Divisors of 214 :

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

1, 2, 107, 214

GCD of numbers is the greatest common divisor

So, the GCD (706, 428, 214) = 2.

Find GCD of 706, 428, 214 using Prime Factorization

Given numbers are 706, 428, 214

The list of prime factors of all numbers are

Prime factors of 706 are 2 x 353

Prime factors of 428 are 2 x 2 x 107

Prime factors of 214 are 2 x 107

The highest common occurrence is 2¹

Therefore, GCD of 706, 428, 214 is 2.

Steps to Calculate GCD of 706, 428, 214 using LCM Formula

Given numbers are 706, 428, 214

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

Apply this formula for all numbers.

Step1:

LCM(706, 428) = 151084

GCD(706, 428) = ( 706 x 428 ) / 151084

= 706 / 428

= 706

Step2:

LCM(2, 214) = 214

GCD(2, 214) = ( 2 x 214 ) / 214

= 2 / 214

= 2

So, Greatest Common Divisor of 706, 428, 214 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 706, 428, 214

Given numbers are 706, 428, 214
The greatest common divisor of numbers 706, 428, 214 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 706, 428, 214 is 2.

FAQs on GCD of 706, 428, 214 Calculator

1. What is the GCD of 706, 428, 214?

GCD of given numbers 706, 428, 214 is 2

2. How to calculate the greatest common divisor of 706, 428, 214?

We can find the highest common divisor of 706, 428, 214 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 706, 428, 214 i.e 2.

3. How can I use the GCD of 706, 428, 214Calculator?

Out the numbers 706, 428, 214 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.