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GCD of 302, 214, 396 Calculator

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


Online GCD Calculator is useful to find the GCD of 302, 214, 396 quickly. Get the easiest ways to solve the greatest common divisor of 302, 214, 396 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 302, 214, 396 with Factoring?

Given Input numbers are 302, 214, 396

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

Divisors of 302 :

The positive integer divisors of 302 that completely divides 302 are.

1, 2, 151, 302

Divisors of 214 :

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

1, 2, 107, 214

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396


GCD of numbers is the greatest common divisor

So, the GCD (302, 214, 396) = 2.

Find GCD of 302, 214, 396 using Prime Factorization

Given numbers are 302, 214, 396

The list of prime factors of all numbers are

Prime factors of 302 are 2 x 151

Prime factors of 214 are 2 x 107

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

The highest common occurrence is 21

Therefore, GCD of 302, 214, 396 is 2.

Steps to Calculate GCD of 302, 214, 396 using LCM Formula

Given numbers are 302, 214, 396

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

Apply this formula for all numbers.

Step1:

LCM(302, 214) = 32314

GCD(302, 214) = ( 302 x 214 ) / 32314

= 302 / 214

= 302


Step2:

LCM(2, 396) = 396

GCD(2, 396) = ( 2 x 396 ) / 396

= 2 / 396

= 2


So, Greatest Common Divisor of 302, 214, 396 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 302, 214, 396

Given numbers are 302, 214, 396
The greatest common divisor of numbers 302, 214, 396 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 302, 214, 396 is 2.

FAQs on GCD of 302, 214, 396 Calculator

1. What is the GCD of 302, 214, 396?

GCD of given numbers 302, 214, 396 is 2


2. How to calculate the greatest common divisor of 302, 214, 396?

We can find the highest common divisor of 302, 214, 396 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 302, 214, 396 i.e 2.


3. How can I use the GCD of 302, 214, 396Calculator?

Out the numbers 302, 214, 396 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.