Where do I get the detailed procedure to find GCD of 399, 196, 658?

You can find a detailed procedure to find GCD of 399, 196, 658 on our page.

How to find GCD of 399, 196, 658 on a calculator?

You can find the GCD of 399, 196, 658 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 399, 196, 658 Calculator

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

Online GCD Calculator is useful to find the GCD of 399, 196, 658 quickly. Get the easiest ways to solve the greatest common divisor of 399, 196, 658 i.e 7 in different methods as follows.

How to Find GCD of Numbers 399, 196, 658 with Factoring?

Given Input numbers are 399, 196, 658

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

Divisors of 399 :

The positive integer divisors of 399 that completely divides 399 are.

1, 3, 7, 19, 21, 57, 133, 399

Divisors of 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 658 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (399, 196, 658) = 7.

Find GCD of 399, 196, 658 using Prime Factorization

Given numbers are 399, 196, 658

The list of prime factors of all numbers are

Prime factors of 399 are 3 x 7 x 19

Prime factors of 196 are 2 x 2 x 7 x 7

Prime factors of 658 are 2 x 7 x 47

The highest common occurrence is 7¹

Therefore, GCD of 399, 196, 658 is 7.

Steps to Calculate GCD of 399, 196, 658 using LCM Formula

Given numbers are 399, 196, 658

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

Apply this formula for all numbers.

Step1:

LCM(399, 196) = 11172

GCD(399, 196) = ( 399 x 196 ) / 11172

= 399 / 196

= 399

Step2:

LCM(7, 658) = 658

GCD(7, 658) = ( 7 x 658 ) / 658

= 7 / 658

= 7

So, Greatest Common Divisor of 399, 196, 658 is 7

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 399, 196, 658

Given numbers are 399, 196, 658
The greatest common divisor of numbers 399, 196, 658 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 399, 196, 658 is 7.

FAQs on GCD of 399, 196, 658 Calculator

1. What is the GCD of 399, 196, 658?

GCD of given numbers 399, 196, 658 is 7

2. How to calculate the greatest common divisor of 399, 196, 658?

We can find the highest common divisor of 399, 196, 658 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 399, 196, 658 i.e 7.

3. How can I use the GCD of 399, 196, 658Calculator?

Out the numbers 399, 196, 658 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.