GCD of 914, 558, 13, 814 Calculator

Given Input numbers are 914, 558, 13, 814

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

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

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 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Greatest Common Divisior

We found the divisors of 914, 558, 13, 814 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 914, 558, 13, 814 is 1.

Therefore, GCD of numbers 914, 558, 13, 814 is 1

Given Input Data is 914, 558, 13, 814

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

Prime Factorization of 914 is 2 x 457

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

Prime Factorization of 13 is 13

Prime Factorization of 814 is 2 x 11 x 37

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(914, 558) = 255006

GCD(914, 558) = ( 914 x 558 ) / 255006

GCD(914, 558) = 510012 / 255006

GCD(914, 558) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 13

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

LCM(2, 13) = 26

GCD(2, 13) = ( 2 x 13 ) / 26

GCD(2, 13) = 26 / 26

GCD(2, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 814

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

LCM(1, 814) = 814

GCD(1, 814) = ( 1 x 814 ) / 814

GCD(1, 814) = 814 / 814

GCD(1, 814) = 1

GCD of 914, 558, 13, 814 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 931, 367, 77, 935
• GCD of 872, 560, 15, 105
• GCD of 275, 668, 82, 418
• GCD of 359, 727, 26, 959
• GCD of 133, 233, 80, 999

1. What is the GCD of 914, 558, 13, 814?

GCD of 914, 558, 13, 814 is 1

2. Where do I get the detailed procedure to find GCD of 914, 558, 13, 814?

You can find a detailed procedure to find GCD of 914, 558, 13, 814 on our page.

3. How to find GCD of 914, 558, 13, 814 on a calculator?

You can find the GCD of 914, 558, 13, 814 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.