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GCD of 188, 436, 824, 428 Calculator

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


Online GCD Calculator is useful to find the GCD of 188, 436, 824, 428 quickly. Get the easiest ways to solve the greatest common divisor of 188, 436, 824, 428 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 188, 436, 824, 428 with Factoring?

Given Input numbers are 188, 436, 824, 428

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

Divisors of 188 :

The positive integer divisors of 188 that completely divides 188 are.

1, 2, 4, 47, 94, 188

Divisors of 436 :

The positive integer divisors of 436 that completely divides 436 are.

1, 2, 4, 109, 218, 436

Divisors of 824 :

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

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

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428


GCD of numbers is the greatest common divisor

So, the GCD (188, 436, 824, 428) = 4.

Find GCD of 188, 436, 824, 428 using Prime Factorization

Given numbers are 188, 436, 824, 428

The list of prime factors of all numbers are

Prime factors of 188 are 2 x 2 x 47

Prime factors of 436 are 2 x 2 x 109

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

Prime factors of 428 are 2 x 2 x 107

The highest common occurrence is 22

Therefore, GCD of 188, 436, 824, 428 is 4.

Steps to Calculate GCD of 188, 436, 824, 428 using LCM Formula

Given numbers are 188, 436, 824, 428

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

Apply this formula for all numbers.

Step1:

LCM(188, 436) = 20492

GCD(188, 436) = ( 188 x 436 ) / 20492

= 188 / 436

= 188


Step2:

LCM(4, 824) = 824

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

= 4 / 824

= 4


Step3:

LCM(4, 428) = 428

GCD(4, 428) = ( 4 x 428 ) / 428

= 4 / 428

= 4


So, Greatest Common Divisor of 188, 436, 824, 428 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 188, 436, 824, 428

Given numbers are 188, 436, 824, 428
The greatest common divisor of numbers 188, 436, 824, 428 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 188, 436, 824, 428 is 4.

FAQs on GCD of 188, 436, 824, 428 Calculator

1. What is the GCD of 188, 436, 824, 428?

GCD of given numbers 188, 436, 824, 428 is 4


2. How to calculate the greatest common divisor of 188, 436, 824, 428?

We can find the highest common divisor of 188, 436, 824, 428 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 188, 436, 824, 428 i.e 4.


3. How can I use the GCD of 188, 436, 824, 428Calculator?

Out the numbers 188, 436, 824, 428 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.