GCD of 303, 125, 72, 805 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 303, 125, 72, 805 i.e. 1 largest integer that divides all the numbers equally.

GCD of 303, 125, 72, 805 is 1

GCD(303, 125, 72, 805) = 1

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

GCD of

GCD of numbers 303, 125, 72, 805 is 1

GCD(303, 125, 72, 805) = 1

GCD of 303,125,72,805 Calculator

GCDof 303,125,72,805 is 1

Given Input numbers are 303, 125, 72, 805

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

Divisors of 303

List of positive integer divisors of 303 that divides 303 without a remainder.

1, 3, 101, 303

Divisors of 125

List of positive integer divisors of 125 that divides 125 without a remainder.

1, 5, 25, 125

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 805

List of positive integer divisors of 805 that divides 805 without a remainder.

1, 5, 7, 23, 35, 115, 161, 805

Greatest Common Divisior

We found the divisors of 303, 125, 72, 805 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 303, 125, 72, 805 is 1.

Therefore, GCD of numbers 303, 125, 72, 805 is 1

Finding GCD of 303, 125, 72, 805 using Prime Factorization

Given Input Data is 303, 125, 72, 805

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

Prime Factorization of 303 is 3 x 101

Prime Factorization of 125 is 5 x 5 x 5

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 805 is 5 x 7 x 23

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

Finding GCD of 303, 125, 72, 805 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(303, 125) = 37875

GCD(303, 125) = ( 303 x 125 ) / 37875

GCD(303, 125) = 37875 / 37875

GCD(303, 125) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 72

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

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

GCD(1, 72) = 72 / 72

GCD(1, 72) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 805

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

LCM(1, 805) = 805

GCD(1, 805) = ( 1 x 805 ) / 805

GCD(1, 805) = 805 / 805

GCD(1, 805) = 1

GCD of 303, 125, 72, 805 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 303, 125, 72, 805

1. What is the GCD of 303, 125, 72, 805?

GCD of 303, 125, 72, 805 is 1


2. Where do I get the detailed procedure to find GCD of 303, 125, 72, 805?

You can find a detailed procedure to find GCD of 303, 125, 72, 805 on our page.


3. How to find GCD of 303, 125, 72, 805 on a calculator?

You can find the GCD of 303, 125, 72, 805 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.