GCD of 900, 484, 48, 927 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 900, 484, 48, 927 i.e. 1 largest integer that divides all the numbers equally.

GCD of 900, 484, 48, 927 is 1

GCD(900, 484, 48, 927) = 1

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

GCD of

GCD of numbers 900, 484, 48, 927 is 1

GCD(900, 484, 48, 927) = 1

GCD of 900,484,48,927 Calculator

GCDof 900,484,48,927 is 1

Given Input numbers are 900, 484, 48, 927

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

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 484

List of positive integer divisors of 484 that divides 484 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 927

List of positive integer divisors of 927 that divides 927 without a remainder.

1, 3, 9, 103, 309, 927

Greatest Common Divisior

We found the divisors of 900, 484, 48, 927 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 900, 484, 48, 927 is 1.

Therefore, GCD of numbers 900, 484, 48, 927 is 1

Finding GCD of 900, 484, 48, 927 using Prime Factorization

Given Input Data is 900, 484, 48, 927

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

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 484 is 2 x 2 x 11 x 11

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 927 is 3 x 3 x 103

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

Finding GCD of 900, 484, 48, 927 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(900, 484) = 108900

GCD(900, 484) = ( 900 x 484 ) / 108900

GCD(900, 484) = 435600 / 108900

GCD(900, 484) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 48

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

LCM(4, 48) = 48

GCD(4, 48) = ( 4 x 48 ) / 48

GCD(4, 48) = 192 / 48

GCD(4, 48) = 4


Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 927

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

LCM(4, 927) = 3708

GCD(4, 927) = ( 4 x 927 ) / 3708

GCD(4, 927) = 3708 / 3708

GCD(4, 927) = 1

GCD of 900, 484, 48, 927 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 900, 484, 48, 927

1. What is the GCD of 900, 484, 48, 927?

GCD of 900, 484, 48, 927 is 1


2. Where do I get the detailed procedure to find GCD of 900, 484, 48, 927?

You can find a detailed procedure to find GCD of 900, 484, 48, 927 on our page.


3. How to find GCD of 900, 484, 48, 927 on a calculator?

You can find the GCD of 900, 484, 48, 927 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.