GCD of 49, 679, 806, 736 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 49, 679, 806, 736 i.e. 1 largest integer that divides all the numbers equally.

GCD of 49, 679, 806, 736 is 1

GCD(49, 679, 806, 736) = 1

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

GCD of

GCD of numbers 49, 679, 806, 736 is 1

GCD(49, 679, 806, 736) = 1

GCD of 49,679,806,736 Calculator

GCDof 49,679,806,736 is 1

Given Input numbers are 49, 679, 806, 736

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

Divisors of 49

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

1, 7, 49

Divisors of 679

List of positive integer divisors of 679 that divides 679 without a remainder.

1, 7, 97, 679

Divisors of 806

List of positive integer divisors of 806 that divides 806 without a remainder.

1, 2, 13, 26, 31, 62, 403, 806

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Greatest Common Divisior

We found the divisors of 49, 679, 806, 736 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 49, 679, 806, 736 is 1.

Therefore, GCD of numbers 49, 679, 806, 736 is 1

Finding GCD of 49, 679, 806, 736 using Prime Factorization

Given Input Data is 49, 679, 806, 736

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

Prime Factorization of 49 is 7 x 7

Prime Factorization of 679 is 7 x 97

Prime Factorization of 806 is 2 x 13 x 31

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

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

Finding GCD of 49, 679, 806, 736 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(49, 679) = 4753

GCD(49, 679) = ( 49 x 679 ) / 4753

GCD(49, 679) = 33271 / 4753

GCD(49, 679) = 7


Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 806

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

LCM(7, 806) = 5642

GCD(7, 806) = ( 7 x 806 ) / 5642

GCD(7, 806) = 5642 / 5642

GCD(7, 806) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 736

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

LCM(1, 736) = 736

GCD(1, 736) = ( 1 x 736 ) / 736

GCD(1, 736) = 736 / 736

GCD(1, 736) = 1

GCD of 49, 679, 806, 736 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 49, 679, 806, 736

1. What is the GCD of 49, 679, 806, 736?

GCD of 49, 679, 806, 736 is 1


2. Where do I get the detailed procedure to find GCD of 49, 679, 806, 736?

You can find a detailed procedure to find GCD of 49, 679, 806, 736 on our page.


3. How to find GCD of 49, 679, 806, 736 on a calculator?

You can find the GCD of 49, 679, 806, 736 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.