GCD of 113, 849, 644, 806 Calculator

Given Input numbers are 113, 849, 644, 806

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

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Divisors of 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 806

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

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

Greatest Common Divisior

We found the divisors of 113, 849, 644, 806 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 113, 849, 644, 806 is 1.

Therefore, GCD of numbers 113, 849, 644, 806 is 1

Given Input Data is 113, 849, 644, 806

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

Prime Factorization of 113 is 113

Prime Factorization of 849 is 3 x 283

Prime Factorization of 644 is 2 x 2 x 7 x 23

Prime Factorization of 806 is 2 x 13 x 31

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

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(113, 849) = 95937

GCD(113, 849) = ( 113 x 849 ) / 95937

GCD(113, 849) = 95937 / 95937

GCD(113, 849) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 644

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

LCM(1, 644) = 644

GCD(1, 644) = ( 1 x 644 ) / 644

GCD(1, 644) = 644 / 644

GCD(1, 644) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 806

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

LCM(1, 806) = 806

GCD(1, 806) = ( 1 x 806 ) / 806

GCD(1, 806) = 806 / 806

GCD(1, 806) = 1

GCD of 113, 849, 644, 806 is 1

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1. What is the GCD of 113, 849, 644, 806?

GCD of 113, 849, 644, 806 is 1

2. Where do I get the detailed procedure to find GCD of 113, 849, 644, 806?

You can find a detailed procedure to find GCD of 113, 849, 644, 806 on our page.

3. How to find GCD of 113, 849, 644, 806 on a calculator?

You can find the GCD of 113, 849, 644, 806 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.