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GCD of 184, 228, 160, 824 Calculator

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


Online GCD Calculator is useful to find the GCD of 184, 228, 160, 824 quickly. Get the easiest ways to solve the greatest common divisor of 184, 228, 160, 824 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 184, 228, 160, 824 with Factoring?

Given Input numbers are 184, 228, 160, 824

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

Divisors of 184 :

The positive integer divisors of 184 that completely divides 184 are.

1, 2, 4, 8, 23, 46, 92, 184

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 160 :

The positive integer divisors of 160 that completely divides 160 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824


GCD of numbers is the greatest common divisor

So, the GCD (184, 228, 160, 824) = 4.

Find GCD of 184, 228, 160, 824 using Prime Factorization

Given numbers are 184, 228, 160, 824

The list of prime factors of all numbers are

Prime factors of 184 are 2 x 2 x 2 x 23

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

Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 824 are 2 x 2 x 2 x 103

The highest common occurrence is 22

Therefore, GCD of 184, 228, 160, 824 is 4.

Steps to Calculate GCD of 184, 228, 160, 824 using LCM Formula

Given numbers are 184, 228, 160, 824

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

Apply this formula for all numbers.

Step1:

LCM(184, 228) = 10488

GCD(184, 228) = ( 184 x 228 ) / 10488

= 184 / 228

= 184


Step2:

LCM(4, 160) = 160

GCD(4, 160) = ( 4 x 160 ) / 160

= 4 / 160

= 4


Step3:

LCM(4, 824) = 824

GCD(4, 824) = ( 4 x 824 ) / 824

= 4 / 824

= 4


So, Greatest Common Divisor of 184, 228, 160, 824 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 184, 228, 160, 824

Given numbers are 184, 228, 160, 824
The greatest common divisor of numbers 184, 228, 160, 824 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 184, 228, 160, 824 is 4.

FAQs on GCD of 184, 228, 160, 824 Calculator

1. What is the GCD of 184, 228, 160, 824?

GCD of given numbers 184, 228, 160, 824 is 4


2. How to calculate the greatest common divisor of 184, 228, 160, 824?

We can find the highest common divisor of 184, 228, 160, 824 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 184, 228, 160, 824 i.e 4.


3. How can I use the GCD of 184, 228, 160, 824Calculator?

Out the numbers 184, 228, 160, 824 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.