GCD of 664, 790, 612, 720 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 664, 790, 612, 720 i.e. 2 largest integer that divides all the numbers equally.

GCD of 664, 790, 612, 720 is 2

GCD(664, 790, 612, 720) = 2

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 664, 790, 612, 720 is 2

GCD(664, 790, 612, 720) = 2

GCD of 664,790,612,720 Calculator

GCDof 664,790,612,720 is 2

Given Input numbers are 664, 790, 612, 720

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 790

List of positive integer divisors of 790 that divides 790 without a remainder.

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

Divisors of 612

List of positive integer divisors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Greatest Common Divisior

We found the divisors of 664, 790, 612, 720 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 664, 790, 612, 720 is 2.

Therefore, GCD of numbers 664, 790, 612, 720 is 2

Finding GCD of 664, 790, 612, 720 using Prime Factorization

Given Input Data is 664, 790, 612, 720

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 664 is 2 x 2 x 2 x 83

Prime Factorization of 790 is 2 x 5 x 79

Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 664, 790, 612, 720 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

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

LCM(664, 790) = 262280

GCD(664, 790) = ( 664 x 790 ) / 262280

GCD(664, 790) = 524560 / 262280

GCD(664, 790) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 612

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

LCM(2, 612) = 612

GCD(2, 612) = ( 2 x 612 ) / 612

GCD(2, 612) = 1224 / 612

GCD(2, 612) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 720

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

LCM(2, 720) = 720

GCD(2, 720) = ( 2 x 720 ) / 720

GCD(2, 720) = 1440 / 720

GCD(2, 720) = 2

GCD of 664, 790, 612, 720 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 664, 790, 612, 720

1. What is the GCD of 664, 790, 612, 720?

GCD of 664, 790, 612, 720 is 2


2. Where do I get the detailed procedure to find GCD of 664, 790, 612, 720?

You can find a detailed procedure to find GCD of 664, 790, 612, 720 on our page.


3. How to find GCD of 664, 790, 612, 720 on a calculator?

You can find the GCD of 664, 790, 612, 720 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.