GCD of 104, 625, 81, 120 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 104, 625, 81, 120 i.e. 1 largest integer that divides all the numbers equally.

GCD of 104, 625, 81, 120 is 1

GCD(104, 625, 81, 120) = 1

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

GCD of

GCD of numbers 104, 625, 81, 120 is 1

GCD(104, 625, 81, 120) = 1

GCD of 104,625,81,120 Calculator

GCDof 104,625,81,120 is 1

Given Input numbers are 104, 625, 81, 120

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

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 625

List of positive integer divisors of 625 that divides 625 without a remainder.

1, 5, 25, 125, 625

Divisors of 81

List of positive integer divisors of 81 that divides 81 without a remainder.

1, 3, 9, 27, 81

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Greatest Common Divisior

We found the divisors of 104, 625, 81, 120 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 104, 625, 81, 120 is 1.

Therefore, GCD of numbers 104, 625, 81, 120 is 1

Finding GCD of 104, 625, 81, 120 using Prime Factorization

Given Input Data is 104, 625, 81, 120

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

Prime Factorization of 104 is 2 x 2 x 2 x 13

Prime Factorization of 625 is 5 x 5 x 5 x 5

Prime Factorization of 81 is 3 x 3 x 3 x 3

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

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

Finding GCD of 104, 625, 81, 120 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(104, 625) = 65000

GCD(104, 625) = ( 104 x 625 ) / 65000

GCD(104, 625) = 65000 / 65000

GCD(104, 625) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 81

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

LCM(1, 81) = 81

GCD(1, 81) = ( 1 x 81 ) / 81

GCD(1, 81) = 81 / 81

GCD(1, 81) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 120

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

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

GCD(1, 120) = 120 / 120

GCD(1, 120) = 1

GCD of 104, 625, 81, 120 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 104, 625, 81, 120

1. What is the GCD of 104, 625, 81, 120?

GCD of 104, 625, 81, 120 is 1


2. Where do I get the detailed procedure to find GCD of 104, 625, 81, 120?

You can find a detailed procedure to find GCD of 104, 625, 81, 120 on our page.


3. How to find GCD of 104, 625, 81, 120 on a calculator?

You can find the GCD of 104, 625, 81, 120 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.