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GCD of 228, 384, 248, 404 Calculator

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


Online GCD Calculator is useful to find the GCD of 228, 384, 248, 404 quickly. Get the easiest ways to solve the greatest common divisor of 228, 384, 248, 404 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 228, 384, 248, 404 with Factoring?

Given Input numbers are 228, 384, 248, 404

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

Divisors of 228 :

The positive integer divisors of 228 that completely divides 228 are.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

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

Divisors of 248 :

The positive integer divisors of 248 that completely divides 248 are.

1, 2, 4, 8, 31, 62, 124, 248

Divisors of 404 :

The positive integer divisors of 404 that completely divides 404 are.

1, 2, 4, 101, 202, 404


GCD of numbers is the greatest common divisor

So, the GCD (228, 384, 248, 404) = 4.

Find GCD of 228, 384, 248, 404 using Prime Factorization

Given numbers are 228, 384, 248, 404

The list of prime factors of all numbers are

Prime factors of 228 are 2 x 2 x 3 x 19

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

Prime factors of 248 are 2 x 2 x 2 x 31

Prime factors of 404 are 2 x 2 x 101

The highest common occurrence is 22

Therefore, GCD of 228, 384, 248, 404 is 4.

Steps to Calculate GCD of 228, 384, 248, 404 using LCM Formula

Given numbers are 228, 384, 248, 404

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

Apply this formula for all numbers.

Step1:

LCM(228, 384) = 7296

GCD(228, 384) = ( 228 x 384 ) / 7296

= 228 / 384

= 228


Step2:

LCM(12, 248) = 744

GCD(12, 248) = ( 12 x 248 ) / 744

= 12 / 248

= 12


Step3:

LCM(4, 404) = 404

GCD(4, 404) = ( 4 x 404 ) / 404

= 4 / 404

= 4


So, Greatest Common Divisor of 228, 384, 248, 404 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 228, 384, 248, 404

Given numbers are 228, 384, 248, 404
The greatest common divisor of numbers 228, 384, 248, 404 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 228, 384, 248, 404 is 4.

FAQs on GCD of 228, 384, 248, 404 Calculator

1. What is the GCD of 228, 384, 248, 404?

GCD of given numbers 228, 384, 248, 404 is 4


2. How to calculate the greatest common divisor of 228, 384, 248, 404?

We can find the highest common divisor of 228, 384, 248, 404 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 228, 384, 248, 404 i.e 4.


3. How can I use the GCD of 228, 384, 248, 404Calculator?

Out the numbers 228, 384, 248, 404 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.