Where do I get the detailed procedure to find GCD of 392, 314, 358?

You can find a detailed procedure to find GCD of 392, 314, 358 on our page.

How to find GCD of 392, 314, 358 on a calculator?

You can find the GCD of 392, 314, 358 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 392, 314, 358 Calculator

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

Online GCD Calculator is useful to find the GCD of 392, 314, 358 quickly. Get the easiest ways to solve the greatest common divisor of 392, 314, 358 i.e 2 in different methods as follows.

How to Find GCD of Numbers 392, 314, 358 with Factoring?

Given Input numbers are 392, 314, 358

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

Divisors of 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 314 :

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

1, 2, 157, 314

Divisors of 358 :

The positive integer divisors of 358 that completely divides 358 are.

1, 2, 179, 358

GCD of numbers is the greatest common divisor

So, the GCD (392, 314, 358) = 2.

Find GCD of 392, 314, 358 using Prime Factorization

Given numbers are 392, 314, 358

The list of prime factors of all numbers are

Prime factors of 392 are 2 x 2 x 2 x 7 x 7

Prime factors of 314 are 2 x 157

Prime factors of 358 are 2 x 179

The highest common occurrence is 2¹

Therefore, GCD of 392, 314, 358 is 2.

Steps to Calculate GCD of 392, 314, 358 using LCM Formula

Given numbers are 392, 314, 358

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

Apply this formula for all numbers.

Step1:

LCM(392, 314) = 61544

GCD(392, 314) = ( 392 x 314 ) / 61544

= 392 / 314

= 392

Step2:

LCM(2, 358) = 358

GCD(2, 358) = ( 2 x 358 ) / 358

= 2 / 358

= 2

So, Greatest Common Divisor of 392, 314, 358 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 392, 314, 358

Given numbers are 392, 314, 358
The greatest common divisor of numbers 392, 314, 358 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 392, 314, 358 is 2.

FAQs on GCD of 392, 314, 358 Calculator

1. What is the GCD of 392, 314, 358?

GCD of given numbers 392, 314, 358 is 2

2. How to calculate the greatest common divisor of 392, 314, 358?

We can find the highest common divisor of 392, 314, 358 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 392, 314, 358 i.e 2.

3. How can I use the GCD of 392, 314, 358Calculator?

Out the numbers 392, 314, 358 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.