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GCD of 603, 231, 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 603, 231, 384 quickly. Get the easiest ways to solve the greatest common divisor of 603, 231, 384 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 603, 231, 384 with Factoring?

Given Input numbers are 603, 231, 384

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

Divisors of 603 :

The positive integer divisors of 603 that completely divides 603 are.

1, 3, 9, 67, 201, 603

Divisors of 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231

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 (603, 231, 384) = 3.

Find GCD of 603, 231, 384 using Prime Factorization

Given numbers are 603, 231, 384

The list of prime factors of all numbers are

Prime factors of 603 are 3 x 3 x 67

Prime factors of 231 are 3 x 7 x 11

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

The highest common occurrence is 31

Therefore, GCD of 603, 231, 384 is 3.

Steps to Calculate GCD of 603, 231, 384 using LCM Formula

Given numbers are 603, 231, 384

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

Apply this formula for all numbers.

Step1:

LCM(603, 231) = 46431

GCD(603, 231) = ( 603 x 231 ) / 46431

= 603 / 231

= 603


Step2:

LCM(3, 384) = 384

GCD(3, 384) = ( 3 x 384 ) / 384

= 3 / 384

= 3


So, Greatest Common Divisor of 603, 231, 384 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 603, 231, 384

Given numbers are 603, 231, 384
The greatest common divisor of numbers 603, 231, 384 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 603, 231, 384 is 3.

FAQs on GCD of 603, 231, 384 Calculator

1. What is the GCD of 603, 231, 384?

GCD of given numbers 603, 231, 384 is 3


2. How to calculate the greatest common divisor of 603, 231, 384?

We can find the highest common divisor of 603, 231, 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 603, 231, 384 i.e 3.


3. How can I use the GCD of 603, 231, 384Calculator?

Out the numbers 603, 231, 384 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.