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GCD of 298, 838, 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 298, 838, 396 quickly. Get the easiest ways to solve the greatest common divisor of 298, 838, 396 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 298, 838, 396 with Factoring?

Given Input numbers are 298, 838, 396

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

Divisors of 298 :

The positive integer divisors of 298 that completely divides 298 are.

1, 2, 149, 298

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

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 (298, 838, 396) = 2.

Find GCD of 298, 838, 396 using Prime Factorization

Given numbers are 298, 838, 396

The list of prime factors of all numbers are

Prime factors of 298 are 2 x 149

Prime factors of 838 are 2 x 419

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

The highest common occurrence is 21

Therefore, GCD of 298, 838, 396 is 2.

Steps to Calculate GCD of 298, 838, 396 using LCM Formula

Given numbers are 298, 838, 396

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

Apply this formula for all numbers.

Step1:

LCM(298, 838) = 124862

GCD(298, 838) = ( 298 x 838 ) / 124862

= 298 / 838

= 298


Step2:

LCM(2, 396) = 396

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

= 2 / 396

= 2


So, Greatest Common Divisor of 298, 838, 396 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 298, 838, 396

Given numbers are 298, 838, 396
The greatest common divisor of numbers 298, 838, 396 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 298, 838, 396 is 2.

FAQs on GCD of 298, 838, 396 Calculator

1. What is the GCD of 298, 838, 396?

GCD of given numbers 298, 838, 396 is 2


2. How to calculate the greatest common divisor of 298, 838, 396?

We can find the highest common divisor of 298, 838, 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 298, 838, 396 i.e 2.


3. How can I use the GCD of 298, 838, 396Calculator?

Out the numbers 298, 838, 396 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.