GCD of 720, 254, 125, 904 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, 254, 125, 904 i.e. 1 largest integer that divides all the numbers equally.

GCD of 720, 254, 125, 904 is 1

GCD(720, 254, 125, 904) = 1

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

GCD of

GCD of numbers 720, 254, 125, 904 is 1

GCD(720, 254, 125, 904) = 1

GCD of 720,254,125,904 Calculator

GCDof 720,254,125,904 is 1

Given Input numbers are 720, 254, 125, 904

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 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Divisors of 125

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

1, 5, 25, 125

Divisors of 904

List of positive integer divisors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

Greatest Common Divisior

We found the divisors of 720, 254, 125, 904 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 720, 254, 125, 904 is 1.

Therefore, GCD of numbers 720, 254, 125, 904 is 1

Finding GCD of 720, 254, 125, 904 using Prime Factorization

Given Input Data is 720, 254, 125, 904

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 254 is 2 x 127

Prime Factorization of 125 is 5 x 5 x 5

Prime Factorization of 904 is 2 x 2 x 2 x 113

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

Finding GCD of 720, 254, 125, 904 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, 254) = 91440

GCD(720, 254) = ( 720 x 254 ) / 91440

GCD(720, 254) = 182880 / 91440

GCD(720, 254) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 125

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

LCM(2, 125) = 250

GCD(2, 125) = ( 2 x 125 ) / 250

GCD(2, 125) = 250 / 250

GCD(2, 125) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 904

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

LCM(1, 904) = 904

GCD(1, 904) = ( 1 x 904 ) / 904

GCD(1, 904) = 904 / 904

GCD(1, 904) = 1

GCD of 720, 254, 125, 904 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 720, 254, 125, 904

1. What is the GCD of 720, 254, 125, 904?

GCD of 720, 254, 125, 904 is 1


2. Where do I get the detailed procedure to find GCD of 720, 254, 125, 904?

You can find a detailed procedure to find GCD of 720, 254, 125, 904 on our page.


3. How to find GCD of 720, 254, 125, 904 on a calculator?

You can find the GCD of 720, 254, 125, 904 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.