GCD of 928, 113, 377, 806 Calculator

Given Input numbers are 928, 113, 377, 806

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

Divisors of 928

List of positive integer divisors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 113

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

1, 113

Divisors of 377

List of positive integer divisors of 377 that divides 377 without a remainder.

1, 13, 29, 377

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 928, 113, 377, 806 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 928, 113, 377, 806 is 1.

Therefore, GCD of numbers 928, 113, 377, 806 is 1

Given Input Data is 928, 113, 377, 806

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

Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29

Prime Factorization of 113 is 113

Prime Factorization of 377 is 13 x 29

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(928, 113) = 104864

GCD(928, 113) = ( 928 x 113 ) / 104864

GCD(928, 113) = 104864 / 104864

GCD(928, 113) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 377

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

LCM(1, 377) = 377

GCD(1, 377) = ( 1 x 377 ) / 377

GCD(1, 377) = 377 / 377

GCD(1, 377) = 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 928, 113, 377, 806 is 1

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1. What is the GCD of 928, 113, 377, 806?

GCD of 928, 113, 377, 806 is 1

2. Where do I get the detailed procedure to find GCD of 928, 113, 377, 806?

You can find a detailed procedure to find GCD of 928, 113, 377, 806 on our page.

3. How to find GCD of 928, 113, 377, 806 on a calculator?

You can find the GCD of 928, 113, 377, 806 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.