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GCD of 299, 241, 384 Calculator

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


Online GCD Calculator is useful to find the GCD of 299, 241, 384 quickly. Get the easiest ways to solve the greatest common divisor of 299, 241, 384 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 299, 241, 384 with Factoring?

Given Input numbers are 299, 241, 384

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

Divisors of 299 :

The positive integer divisors of 299 that completely divides 299 are.

1, 13, 23, 299

Divisors of 241 :

The positive integer divisors of 241 that completely divides 241 are.

1, 241

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384


GCD of numbers is the greatest common divisor

So, the GCD (299, 241, 384) = 1.

Find GCD of 299, 241, 384 using Prime Factorization

Given numbers are 299, 241, 384

The list of prime factors of all numbers are

Prime factors of 299 are 13 x 23

Prime factors of 241 are 241

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 299, 241, 384 using LCM Formula

Given numbers are 299, 241, 384

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

Apply this formula for all numbers.

Step1:

LCM(299, 241) = 72059

GCD(299, 241) = ( 299 x 241 ) / 72059

= 299 / 241

= 299


Step2:

LCM(1, 384) = 384

GCD(1, 384) = ( 1 x 384 ) / 384

= 1 / 384

= 1


So, Greatest Common Divisor of 299, 241, 384 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 299, 241, 384

Given numbers are 299, 241, 384
The greatest common divisor of numbers 299, 241, 384 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 299, 241, 384 is 1.

FAQs on GCD of 299, 241, 384 Calculator

1. What is the GCD of 299, 241, 384?

GCD of given numbers 299, 241, 384 is 1


2. How to calculate the greatest common divisor of 299, 241, 384?

We can find the highest common divisor of 299, 241, 384 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 299, 241, 384 i.e 1.


3. How can I use the GCD of 299, 241, 384Calculator?

Out the numbers 299, 241, 384 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.