GCD of 249, 804, 49 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 249, 804, 49 i.e. 1 largest integer that divides all the numbers equally.

GCD of 249, 804, 49 is 1

GCD(249, 804, 49) = 1

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

GCD of

GCD of numbers 249, 804, 49 is 1

GCD(249, 804, 49) = 1

GCD of 249,804,49 Calculator

GCDof 249,804,49 is 1

Given Input numbers are 249, 804, 49

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

Divisors of 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

Divisors of 804

List of positive integer divisors of 804 that divides 804 without a remainder.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Greatest Common Divisior

We found the divisors of 249, 804, 49 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 249, 804, 49 is 1.

Therefore, GCD of numbers 249, 804, 49 is 1

Finding GCD of 249, 804, 49 using Prime Factorization

Given Input Data is 249, 804, 49

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

Prime Factorization of 249 is 3 x 83

Prime Factorization of 804 is 2 x 2 x 3 x 67

Prime Factorization of 49 is 7 x 7

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

Finding GCD of 249, 804, 49 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(249, 804) = 66732

GCD(249, 804) = ( 249 x 804 ) / 66732

GCD(249, 804) = 200196 / 66732

GCD(249, 804) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 49

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

LCM(3, 49) = 147

GCD(3, 49) = ( 3 x 49 ) / 147

GCD(3, 49) = 147 / 147

GCD(3, 49) = 1

GCD of 249, 804, 49 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 249, 804, 49

1. What is the GCD of 249, 804, 49?

GCD of 249, 804, 49 is 1


2. Where do I get the detailed procedure to find GCD of 249, 804, 49?

You can find a detailed procedure to find GCD of 249, 804, 49 on our page.


3. How to find GCD of 249, 804, 49 on a calculator?

You can find the GCD of 249, 804, 49 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.