GCD of 806, 344, 553, 871 Calculator

Given Input numbers are 806, 344, 553, 871

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 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Divisors of 871

List of positive integer divisors of 871 that divides 871 without a remainder.

1, 13, 67, 871

Greatest Common Divisior

We found the divisors of 806, 344, 553, 871 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 806, 344, 553, 871 is 1.

Therefore, GCD of numbers 806, 344, 553, 871 is 1

Given Input Data is 806, 344, 553, 871

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 344 is 2 x 2 x 2 x 43

Prime Factorization of 553 is 7 x 79

Prime Factorization of 871 is 13 x 67

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, 344) = 138632

GCD(806, 344) = ( 806 x 344 ) / 138632

GCD(806, 344) = 277264 / 138632

GCD(806, 344) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 553

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

LCM(2, 553) = 1106

GCD(2, 553) = ( 2 x 553 ) / 1106

GCD(2, 553) = 1106 / 1106

GCD(2, 553) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 871

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

LCM(1, 871) = 871

GCD(1, 871) = ( 1 x 871 ) / 871

GCD(1, 871) = 871 / 871

GCD(1, 871) = 1

GCD of 806, 344, 553, 871 is 1

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1. What is the GCD of 806, 344, 553, 871?

GCD of 806, 344, 553, 871 is 1

2. Where do I get the detailed procedure to find GCD of 806, 344, 553, 871?

You can find a detailed procedure to find GCD of 806, 344, 553, 871 on our page.

3. How to find GCD of 806, 344, 553, 871 on a calculator?

You can find the GCD of 806, 344, 553, 871 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.