GCD of 47, 489, 648, 185 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 47, 489, 648, 185 i.e. 1 largest integer that divides all the numbers equally.

GCD of 47, 489, 648, 185 is 1

GCD(47, 489, 648, 185) = 1

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

GCD of

GCD of numbers 47, 489, 648, 185 is 1

GCD(47, 489, 648, 185) = 1

GCD of 47,489,648,185 Calculator

GCDof 47,489,648,185 is 1

Given Input numbers are 47, 489, 648, 185

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

Divisors of 47

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

1, 47

Divisors of 489

List of positive integer divisors of 489 that divides 489 without a remainder.

1, 3, 163, 489

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 185

List of positive integer divisors of 185 that divides 185 without a remainder.

1, 5, 37, 185

Greatest Common Divisior

We found the divisors of 47, 489, 648, 185 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 47, 489, 648, 185 is 1.

Therefore, GCD of numbers 47, 489, 648, 185 is 1

Finding GCD of 47, 489, 648, 185 using Prime Factorization

Given Input Data is 47, 489, 648, 185

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

Prime Factorization of 47 is 47

Prime Factorization of 489 is 3 x 163

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 185 is 5 x 37

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

Finding GCD of 47, 489, 648, 185 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(47, 489) = 22983

GCD(47, 489) = ( 47 x 489 ) / 22983

GCD(47, 489) = 22983 / 22983

GCD(47, 489) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 648

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

LCM(1, 648) = 648

GCD(1, 648) = ( 1 x 648 ) / 648

GCD(1, 648) = 648 / 648

GCD(1, 648) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 185

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

LCM(1, 185) = 185

GCD(1, 185) = ( 1 x 185 ) / 185

GCD(1, 185) = 185 / 185

GCD(1, 185) = 1

GCD of 47, 489, 648, 185 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 47, 489, 648, 185

1. What is the GCD of 47, 489, 648, 185?

GCD of 47, 489, 648, 185 is 1


2. Where do I get the detailed procedure to find GCD of 47, 489, 648, 185?

You can find a detailed procedure to find GCD of 47, 489, 648, 185 on our page.


3. How to find GCD of 47, 489, 648, 185 on a calculator?

You can find the GCD of 47, 489, 648, 185 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.