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GCD of 381, 519, 389, 243 Calculator

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


Online GCD Calculator is useful to find the GCD of 381, 519, 389, 243 quickly. Get the easiest ways to solve the greatest common divisor of 381, 519, 389, 243 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 381, 519, 389, 243 with Factoring?

Given Input numbers are 381, 519, 389, 243

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

Divisors of 381 :

The positive integer divisors of 381 that completely divides 381 are.

1, 3, 127, 381

Divisors of 519 :

The positive integer divisors of 519 that completely divides 519 are.

1, 3, 173, 519

Divisors of 389 :

The positive integer divisors of 389 that completely divides 389 are.

1, 389

Divisors of 243 :

The positive integer divisors of 243 that completely divides 243 are.

1, 3, 9, 27, 81, 243


GCD of numbers is the greatest common divisor

So, the GCD (381, 519, 389, 243) = 1.

Find GCD of 381, 519, 389, 243 using Prime Factorization

Given numbers are 381, 519, 389, 243

The list of prime factors of all numbers are

Prime factors of 381 are 3 x 127

Prime factors of 519 are 3 x 173

Prime factors of 389 are 389

Prime factors of 243 are 3 x 3 x 3 x 3 x 3

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

Steps to Calculate GCD of 381, 519, 389, 243 using LCM Formula

Given numbers are 381, 519, 389, 243

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

Apply this formula for all numbers.

Step1:

LCM(381, 519) = 65913

GCD(381, 519) = ( 381 x 519 ) / 65913

= 381 / 519

= 381


Step2:

LCM(3, 389) = 1167

GCD(3, 389) = ( 3 x 389 ) / 1167

= 3 / 389

= 3


Step3:

LCM(1, 243) = 243

GCD(1, 243) = ( 1 x 243 ) / 243

= 1 / 243

= 1


So, Greatest Common Divisor of 381, 519, 389, 243 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 381, 519, 389, 243

Given numbers are 381, 519, 389, 243
The greatest common divisor of numbers 381, 519, 389, 243 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 381, 519, 389, 243 is 1.

FAQs on GCD of 381, 519, 389, 243 Calculator

1. What is the GCD of 381, 519, 389, 243?

GCD of given numbers 381, 519, 389, 243 is 1


2. How to calculate the greatest common divisor of 381, 519, 389, 243?

We can find the highest common divisor of 381, 519, 389, 243 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 381, 519, 389, 243 i.e 1.


3. How can I use the GCD of 381, 519, 389, 243Calculator?

Out the numbers 381, 519, 389, 243 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.