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GCD of 228, 868, 504, 844 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, 868, 504, 844 quickly. Get the easiest ways to solve the greatest common divisor of 228, 868, 504, 844 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 228, 868, 504, 844 with Factoring?

Given Input numbers are 228, 868, 504, 844

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 868 :

The positive integer divisors of 868 that completely divides 868 are.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 844 :

The positive integer divisors of 844 that completely divides 844 are.

1, 2, 4, 211, 422, 844


GCD of numbers is the greatest common divisor

So, the GCD (228, 868, 504, 844) = 4.

Find GCD of 228, 868, 504, 844 using Prime Factorization

Given numbers are 228, 868, 504, 844

The list of prime factors of all numbers are

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

Prime factors of 868 are 2 x 2 x 7 x 31

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

Prime factors of 844 are 2 x 2 x 211

The highest common occurrence is 22

Therefore, GCD of 228, 868, 504, 844 is 4.

Steps to Calculate GCD of 228, 868, 504, 844 using LCM Formula

Given numbers are 228, 868, 504, 844

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

Apply this formula for all numbers.

Step1:

LCM(228, 868) = 49476

GCD(228, 868) = ( 228 x 868 ) / 49476

= 228 / 868

= 228


Step2:

LCM(4, 504) = 504

GCD(4, 504) = ( 4 x 504 ) / 504

= 4 / 504

= 4


Step3:

LCM(4, 844) = 844

GCD(4, 844) = ( 4 x 844 ) / 844

= 4 / 844

= 4


So, Greatest Common Divisor of 228, 868, 504, 844 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 228, 868, 504, 844

Given numbers are 228, 868, 504, 844
The greatest common divisor of numbers 228, 868, 504, 844 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 228, 868, 504, 844 is 4.

FAQs on GCD of 228, 868, 504, 844 Calculator

1. What is the GCD of 228, 868, 504, 844?

GCD of given numbers 228, 868, 504, 844 is 4


2. How to calculate the greatest common divisor of 228, 868, 504, 844?

We can find the highest common divisor of 228, 868, 504, 844 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, 868, 504, 844 i.e 4.


3. How can I use the GCD of 228, 868, 504, 844Calculator?

Out the numbers 228, 868, 504, 844 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.