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GCD of 320, 656, 812 Calculator

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


Online GCD Calculator is useful to find the GCD of 320, 656, 812 quickly. Get the easiest ways to solve the greatest common divisor of 320, 656, 812 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 320, 656, 812 with Factoring?

Given Input numbers are 320, 656, 812

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

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 656 :

The positive integer divisors of 656 that completely divides 656 are.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 812 :

The positive integer divisors of 812 that completely divides 812 are.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812


GCD of numbers is the greatest common divisor

So, the GCD (320, 656, 812) = 4.

Find GCD of 320, 656, 812 using Prime Factorization

Given numbers are 320, 656, 812

The list of prime factors of all numbers are

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 656 are 2 x 2 x 2 x 2 x 41

Prime factors of 812 are 2 x 2 x 7 x 29

The highest common occurrence is 22

Therefore, GCD of 320, 656, 812 is 4.

Steps to Calculate GCD of 320, 656, 812 using LCM Formula

Given numbers are 320, 656, 812

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

Apply this formula for all numbers.

Step1:

LCM(320, 656) = 13120

GCD(320, 656) = ( 320 x 656 ) / 13120

= 320 / 656

= 320


Step2:

LCM(16, 812) = 3248

GCD(16, 812) = ( 16 x 812 ) / 3248

= 16 / 812

= 16


So, Greatest Common Divisor of 320, 656, 812 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 320, 656, 812

Given numbers are 320, 656, 812
The greatest common divisor of numbers 320, 656, 812 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 320, 656, 812 is 4.

FAQs on GCD of 320, 656, 812 Calculator

1. What is the GCD of 320, 656, 812?

GCD of given numbers 320, 656, 812 is 4


2. How to calculate the greatest common divisor of 320, 656, 812?

We can find the highest common divisor of 320, 656, 812 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 320, 656, 812 i.e 4.


3. How can I use the GCD of 320, 656, 812Calculator?

Out the numbers 320, 656, 812 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.