GCD of 806, 552, 313, 521 Calculator

Given Input numbers are 806, 552, 313, 521

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

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 552

List of positive integer divisors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Divisors of 521

List of positive integer divisors of 521 that divides 521 without a remainder.

1, 521

Greatest Common Divisior

We found the divisors of 806, 552, 313, 521 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 806, 552, 313, 521 is 1.

Therefore, GCD of numbers 806, 552, 313, 521 is 1

Given Input Data is 806, 552, 313, 521

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

Prime Factorization of 806 is 2 x 13 x 31

Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23

Prime Factorization of 313 is 313

Prime Factorization of 521 is 521

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(806, 552) = 222456

GCD(806, 552) = ( 806 x 552 ) / 222456

GCD(806, 552) = 444912 / 222456

GCD(806, 552) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 313

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

LCM(2, 313) = 626

GCD(2, 313) = ( 2 x 313 ) / 626

GCD(2, 313) = 626 / 626

GCD(2, 313) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 521

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

LCM(1, 521) = 521

GCD(1, 521) = ( 1 x 521 ) / 521

GCD(1, 521) = 521 / 521

GCD(1, 521) = 1

GCD of 806, 552, 313, 521 is 1

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1. What is the GCD of 806, 552, 313, 521?

GCD of 806, 552, 313, 521 is 1

2. Where do I get the detailed procedure to find GCD of 806, 552, 313, 521?

You can find a detailed procedure to find GCD of 806, 552, 313, 521 on our page.

3. How to find GCD of 806, 552, 313, 521 on a calculator?

You can find the GCD of 806, 552, 313, 521 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.