GCD of 612, 556, 407, 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 612, 556, 407, 720 i.e. 1 largest integer that divides all the numbers equally.

GCD of 612, 556, 407, 720 is 1

GCD(612, 556, 407, 720) = 1

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

GCD of

GCD of numbers 612, 556, 407, 720 is 1

GCD(612, 556, 407, 720) = 1

GCD of 612,556,407,720 Calculator

GCDof 612,556,407,720 is 1

Given Input numbers are 612, 556, 407, 720

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

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 556

List of positive integer divisors of 556 that divides 556 without a remainder.

1, 2, 4, 139, 278, 556

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

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 612, 556, 407, 720 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 612, 556, 407, 720 is 1.

Therefore, GCD of numbers 612, 556, 407, 720 is 1

Finding GCD of 612, 556, 407, 720 using Prime Factorization

Given Input Data is 612, 556, 407, 720

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

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

Prime Factorization of 556 is 2 x 2 x 139

Prime Factorization of 407 is 11 x 37

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

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 612, 556, 407, 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(612, 556) = 85068

GCD(612, 556) = ( 612 x 556 ) / 85068

GCD(612, 556) = 340272 / 85068

GCD(612, 556) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 407

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

LCM(4, 407) = 1628

GCD(4, 407) = ( 4 x 407 ) / 1628

GCD(4, 407) = 1628 / 1628

GCD(4, 407) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 720

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

LCM(1, 720) = 720

GCD(1, 720) = ( 1 x 720 ) / 720

GCD(1, 720) = 720 / 720

GCD(1, 720) = 1

GCD of 612, 556, 407, 720 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 612, 556, 407, 720

1. What is the GCD of 612, 556, 407, 720?

GCD of 612, 556, 407, 720 is 1


2. Where do I get the detailed procedure to find GCD of 612, 556, 407, 720?

You can find a detailed procedure to find GCD of 612, 556, 407, 720 on our page.


3. How to find GCD of 612, 556, 407, 720 on a calculator?

You can find the GCD of 612, 556, 407, 720 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.