GCD of 366, 720, 56, 507 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 366, 720, 56, 507 i.e. 1 largest integer that divides all the numbers equally.

GCD of 366, 720, 56, 507 is 1

GCD(366, 720, 56, 507) = 1

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

GCD of

GCD of numbers 366, 720, 56, 507 is 1

GCD(366, 720, 56, 507) = 1

GCD of 366,720,56,507 Calculator

GCDof 366,720,56,507 is 1

Given Input numbers are 366, 720, 56, 507

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

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

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

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Greatest Common Divisior

We found the divisors of 366, 720, 56, 507 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 366, 720, 56, 507 is 1.

Therefore, GCD of numbers 366, 720, 56, 507 is 1

Finding GCD of 366, 720, 56, 507 using Prime Factorization

Given Input Data is 366, 720, 56, 507

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

Prime Factorization of 366 is 2 x 3 x 61

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

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 507 is 3 x 13 x 13

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

Finding GCD of 366, 720, 56, 507 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(366, 720) = 43920

GCD(366, 720) = ( 366 x 720 ) / 43920

GCD(366, 720) = 263520 / 43920

GCD(366, 720) = 6


Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 56

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

LCM(6, 56) = 168

GCD(6, 56) = ( 6 x 56 ) / 168

GCD(6, 56) = 336 / 168

GCD(6, 56) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 507

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

LCM(2, 507) = 1014

GCD(2, 507) = ( 2 x 507 ) / 1014

GCD(2, 507) = 1014 / 1014

GCD(2, 507) = 1

GCD of 366, 720, 56, 507 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 366, 720, 56, 507

1. What is the GCD of 366, 720, 56, 507?

GCD of 366, 720, 56, 507 is 1


2. Where do I get the detailed procedure to find GCD of 366, 720, 56, 507?

You can find a detailed procedure to find GCD of 366, 720, 56, 507 on our page.


3. How to find GCD of 366, 720, 56, 507 on a calculator?

You can find the GCD of 366, 720, 56, 507 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.