GCD of 285, 925, 90 Calculator

Make use of GCD Calculator to determine the Greatest Common Divisor of 285, 925, 90 i.e. 5 largest integer that divides all the numbers equally.

GCD of 285, 925, 90 is 5

GCD(285, 925, 90) = 5

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

GCD of

Finding GCD of 285, 925, 90 using Factoring

Given Input numbers are 285, 925, 90

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 925

List of positive integer divisors of 925 that divides 925 without a remainder.

1, 5, 25, 37, 185, 925

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Greatest Common Divisior

We found the divisors of 285, 925, 90 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 285, 925, 90 is 5.

Therefore, GCD of numbers 285, 925, 90 is 5

Finding GCD of 285, 925, 90 using Prime Factorization

Given Input Data is 285, 925, 90

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 925 is 5 x 5 x 37

Prime Factorization of 90 is 2 x 3 x 3 x 5

Highest common occurrences in the given inputs are 51

Multiplying them we get the GCD as 5

Finding GCD of 285, 925, 90 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, 925) = 52725

GCD(285, 925) = ( 285 x 925 ) / 52725

GCD(285, 925) = 263625 / 52725

GCD(285, 925) = 5


Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 90

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

LCM(5, 90) = 90

GCD(5, 90) = ( 5 x 90 ) / 90

GCD(5, 90) = 450 / 90

GCD(5, 90) = 5

GCD of 285, 925, 90 is 5

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 285, 925, 90

1. What is the GCD of 285, 925, 90?

GCD of 285, 925, 90 is 5


2. Where do I get the detailed procedure to find GCD of 285, 925, 90?

You can find a detailed procedure to find GCD of 285, 925, 90 on our page.


3. How to find GCD of 285, 925, 90 on a calculator?

You can find the GCD of 285, 925, 90 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.


GCD of 285,925,90 Calculator