GCD of 844, 548, 71, 490 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 844, 548, 71, 490 i.e. 1 largest integer that divides all the numbers equally.

GCD of 844, 548, 71, 490 is 1

GCD(844, 548, 71, 490) = 1

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

GCD of

GCD of numbers 844, 548, 71, 490 is 1

GCD(844, 548, 71, 490) = 1

GCD of 844,548,71,490 Calculator

GCDof 844,548,71,490 is 1

Given Input numbers are 844, 548, 71, 490

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

Divisors of 844

List of positive integer divisors of 844 that divides 844 without a remainder.

1, 2, 4, 211, 422, 844

Divisors of 548

List of positive integer divisors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 490

List of positive integer divisors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Greatest Common Divisior

We found the divisors of 844, 548, 71, 490 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 844, 548, 71, 490 is 1.

Therefore, GCD of numbers 844, 548, 71, 490 is 1

Finding GCD of 844, 548, 71, 490 using Prime Factorization

Given Input Data is 844, 548, 71, 490

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

Prime Factorization of 844 is 2 x 2 x 211

Prime Factorization of 548 is 2 x 2 x 137

Prime Factorization of 71 is 71

Prime Factorization of 490 is 2 x 5 x 7 x 7

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

Finding GCD of 844, 548, 71, 490 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(844, 548) = 115628

GCD(844, 548) = ( 844 x 548 ) / 115628

GCD(844, 548) = 462512 / 115628

GCD(844, 548) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 71

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

LCM(4, 71) = 284

GCD(4, 71) = ( 4 x 71 ) / 284

GCD(4, 71) = 284 / 284

GCD(4, 71) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 490

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

LCM(1, 490) = 490

GCD(1, 490) = ( 1 x 490 ) / 490

GCD(1, 490) = 490 / 490

GCD(1, 490) = 1

GCD of 844, 548, 71, 490 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 844, 548, 71, 490

1. What is the GCD of 844, 548, 71, 490?

GCD of 844, 548, 71, 490 is 1


2. Where do I get the detailed procedure to find GCD of 844, 548, 71, 490?

You can find a detailed procedure to find GCD of 844, 548, 71, 490 on our page.


3. How to find GCD of 844, 548, 71, 490 on a calculator?

You can find the GCD of 844, 548, 71, 490 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.