Where do I get the detailed procedure to find GCD of 428, 314, 334?

You can find a detailed procedure to find GCD of 428, 314, 334 on our page.

How to find GCD of 428, 314, 334 on a calculator?

You can find the GCD of 428, 314, 334 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 428, 314, 334 Calculator

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

Online GCD Calculator is useful to find the GCD of 428, 314, 334 quickly. Get the easiest ways to solve the greatest common divisor of 428, 314, 334 i.e 2 in different methods as follows.

How to Find GCD of Numbers 428, 314, 334 with Factoring?

Given Input numbers are 428, 314, 334

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

Divisors of 428 :

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

1, 2, 4, 107, 214, 428

Divisors of 314 :

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

1, 2, 157, 314

Divisors of 334 :

The positive integer divisors of 334 that completely divides 334 are.

1, 2, 167, 334

GCD of numbers is the greatest common divisor

So, the GCD (428, 314, 334) = 2.

Find GCD of 428, 314, 334 using Prime Factorization

Given numbers are 428, 314, 334

The list of prime factors of all numbers are

Prime factors of 428 are 2 x 2 x 107

Prime factors of 314 are 2 x 157

Prime factors of 334 are 2 x 167

The highest common occurrence is 2¹

Therefore, GCD of 428, 314, 334 is 2.

Steps to Calculate GCD of 428, 314, 334 using LCM Formula

Given numbers are 428, 314, 334

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

Apply this formula for all numbers.

Step1:

LCM(428, 314) = 67196

GCD(428, 314) = ( 428 x 314 ) / 67196

= 428 / 314

= 428

Step2:

LCM(2, 334) = 334

GCD(2, 334) = ( 2 x 334 ) / 334

= 2 / 334

= 2

So, Greatest Common Divisor of 428, 314, 334 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 428, 314, 334

Given numbers are 428, 314, 334
The greatest common divisor of numbers 428, 314, 334 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 314, 334 is 2.

FAQs on GCD of 428, 314, 334 Calculator

1. What is the GCD of 428, 314, 334?

GCD of given numbers 428, 314, 334 is 2

2. How to calculate the greatest common divisor of 428, 314, 334?

We can find the highest common divisor of 428, 314, 334 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 428, 314, 334 i.e 2.

3. How can I use the GCD of 428, 314, 334Calculator?

Out the numbers 428, 314, 334 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.