GCD of 720, 183, 830, 993 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 720, 183, 830, 993 i.e. 1 largest integer that divides all the numbers equally.

GCD of 720, 183, 830, 993 is 1

GCD(720, 183, 830, 993) = 1

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

GCD of

GCD of numbers 720, 183, 830, 993 is 1

GCD(720, 183, 830, 993) = 1

GCD of 720,183,830,993 Calculator

GCDof 720,183,830,993 is 1

Given Input numbers are 720, 183, 830, 993

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

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 183

List of positive integer divisors of 183 that divides 183 without a remainder.

1, 3, 61, 183

Divisors of 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Divisors of 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Greatest Common Divisior

We found the divisors of 720, 183, 830, 993 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 720, 183, 830, 993 is 1.

Therefore, GCD of numbers 720, 183, 830, 993 is 1

Finding GCD of 720, 183, 830, 993 using Prime Factorization

Given Input Data is 720, 183, 830, 993

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

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

Prime Factorization of 183 is 3 x 61

Prime Factorization of 830 is 2 x 5 x 83

Prime Factorization of 993 is 3 x 331

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

Finding GCD of 720, 183, 830, 993 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(720, 183) = 43920

GCD(720, 183) = ( 720 x 183 ) / 43920

GCD(720, 183) = 131760 / 43920

GCD(720, 183) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 830

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

LCM(3, 830) = 2490

GCD(3, 830) = ( 3 x 830 ) / 2490

GCD(3, 830) = 2490 / 2490

GCD(3, 830) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 993

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

LCM(1, 993) = 993

GCD(1, 993) = ( 1 x 993 ) / 993

GCD(1, 993) = 993 / 993

GCD(1, 993) = 1

GCD of 720, 183, 830, 993 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 720, 183, 830, 993

1. What is the GCD of 720, 183, 830, 993?

GCD of 720, 183, 830, 993 is 1


2. Where do I get the detailed procedure to find GCD of 720, 183, 830, 993?

You can find a detailed procedure to find GCD of 720, 183, 830, 993 on our page.


3. How to find GCD of 720, 183, 830, 993 on a calculator?

You can find the GCD of 720, 183, 830, 993 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.