GCD of 558, 795, 303, 871 Calculator

Given Input numbers are 558, 795, 303, 871

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

Divisors of 558

List of positive integer divisors of 558 that divides 558 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 795

List of positive integer divisors of 795 that divides 795 without a remainder.

1, 3, 5, 15, 53, 159, 265, 795

Divisors of 303

List of positive integer divisors of 303 that divides 303 without a remainder.

1, 3, 101, 303

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 558, 795, 303, 871 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 558, 795, 303, 871 is 1.

Therefore, GCD of numbers 558, 795, 303, 871 is 1

Given Input Data is 558, 795, 303, 871

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

Prime Factorization of 558 is 2 x 3 x 3 x 31

Prime Factorization of 795 is 3 x 5 x 53

Prime Factorization of 303 is 3 x 101

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(558, 795) = 147870

GCD(558, 795) = ( 558 x 795 ) / 147870

GCD(558, 795) = 443610 / 147870

GCD(558, 795) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 303

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

LCM(3, 303) = 303

GCD(3, 303) = ( 3 x 303 ) / 303

GCD(3, 303) = 909 / 303

GCD(3, 303) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 871

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

LCM(3, 871) = 2613

GCD(3, 871) = ( 3 x 871 ) / 2613

GCD(3, 871) = 2613 / 2613

GCD(3, 871) = 1

GCD of 558, 795, 303, 871 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 145, 434, 261, 763
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• GCD of 425, 179, 686, 400

1. What is the GCD of 558, 795, 303, 871?

GCD of 558, 795, 303, 871 is 1

2. Where do I get the detailed procedure to find GCD of 558, 795, 303, 871?

You can find a detailed procedure to find GCD of 558, 795, 303, 871 on our page.

3. How to find GCD of 558, 795, 303, 871 on a calculator?

You can find the GCD of 558, 795, 303, 871 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.