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GCD of 328, 224, 204, 790 Calculator

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


Online GCD Calculator is useful to find the GCD of 328, 224, 204, 790 quickly. Get the easiest ways to solve the greatest common divisor of 328, 224, 204, 790 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 328, 224, 204, 790 with Factoring?

Given Input numbers are 328, 224, 204, 790

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

Divisors of 328 :

The positive integer divisors of 328 that completely divides 328 are.

1, 2, 4, 8, 41, 82, 164, 328

Divisors of 224 :

The positive integer divisors of 224 that completely divides 224 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 204 :

The positive integer divisors of 204 that completely divides 204 are.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 790 :

The positive integer divisors of 790 that completely divides 790 are.

1, 2, 5, 10, 79, 158, 395, 790


GCD of numbers is the greatest common divisor

So, the GCD (328, 224, 204, 790) = 2.

Find GCD of 328, 224, 204, 790 using Prime Factorization

Given numbers are 328, 224, 204, 790

The list of prime factors of all numbers are

Prime factors of 328 are 2 x 2 x 2 x 41

Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 204 are 2 x 2 x 3 x 17

Prime factors of 790 are 2 x 5 x 79

The highest common occurrence is 21

Therefore, GCD of 328, 224, 204, 790 is 2.

Steps to Calculate GCD of 328, 224, 204, 790 using LCM Formula

Given numbers are 328, 224, 204, 790

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

Apply this formula for all numbers.

Step1:

LCM(328, 224) = 9184

GCD(328, 224) = ( 328 x 224 ) / 9184

= 328 / 224

= 328


Step2:

LCM(8, 204) = 408

GCD(8, 204) = ( 8 x 204 ) / 408

= 8 / 204

= 8


Step3:

LCM(4, 790) = 1580

GCD(4, 790) = ( 4 x 790 ) / 1580

= 4 / 790

= 4


So, Greatest Common Divisor of 328, 224, 204, 790 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 328, 224, 204, 790

Given numbers are 328, 224, 204, 790
The greatest common divisor of numbers 328, 224, 204, 790 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 328, 224, 204, 790 is 2.

FAQs on GCD of 328, 224, 204, 790 Calculator

1. What is the GCD of 328, 224, 204, 790?

GCD of given numbers 328, 224, 204, 790 is 2


2. How to calculate the greatest common divisor of 328, 224, 204, 790?

We can find the highest common divisor of 328, 224, 204, 790 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 328, 224, 204, 790 i.e 2.


3. How can I use the GCD of 328, 224, 204, 790Calculator?

Out the numbers 328, 224, 204, 790 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.