GCD of 285, 825, 47, 425 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 285, 825, 47, 425 i.e. 1 largest integer that divides all the numbers equally.

GCD of 285, 825, 47, 425 is 1

GCD(285, 825, 47, 425) = 1

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

GCD of

GCD of numbers 285, 825, 47, 425 is 1

GCD(285, 825, 47, 425) = 1

GCD of 285,825,47,425 Calculator

GCDof 285,825,47,425 is 1

Given Input numbers are 285, 825, 47, 425

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

Divisors of 285

List of positive integer divisors of 285 that divides 285 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 425

List of positive integer divisors of 425 that divides 425 without a remainder.

1, 5, 17, 25, 85, 425

Greatest Common Divisior

We found the divisors of 285, 825, 47, 425 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 285, 825, 47, 425 is 1.

Therefore, GCD of numbers 285, 825, 47, 425 is 1

Finding GCD of 285, 825, 47, 425 using Prime Factorization

Given Input Data is 285, 825, 47, 425

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

Prime Factorization of 285 is 3 x 5 x 19

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 47 is 47

Prime Factorization of 425 is 5 x 5 x 17

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

Finding GCD of 285, 825, 47, 425 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(285, 825) = 15675

GCD(285, 825) = ( 285 x 825 ) / 15675

GCD(285, 825) = 235125 / 15675

GCD(285, 825) = 15


Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 47

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

LCM(15, 47) = 705

GCD(15, 47) = ( 15 x 47 ) / 705

GCD(15, 47) = 705 / 705

GCD(15, 47) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 425

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

LCM(1, 425) = 425

GCD(1, 425) = ( 1 x 425 ) / 425

GCD(1, 425) = 425 / 425

GCD(1, 425) = 1

GCD of 285, 825, 47, 425 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 285, 825, 47, 425

1. What is the GCD of 285, 825, 47, 425?

GCD of 285, 825, 47, 425 is 1


2. Where do I get the detailed procedure to find GCD of 285, 825, 47, 425?

You can find a detailed procedure to find GCD of 285, 825, 47, 425 on our page.


3. How to find GCD of 285, 825, 47, 425 on a calculator?

You can find the GCD of 285, 825, 47, 425 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.