GCD of 563, 106, 45, 806 Calculator

Given Input numbers are 563, 106, 45, 806

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

Divisors of 563

List of positive integer divisors of 563 that divides 563 without a remainder.

1, 563

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

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 563, 106, 45, 806 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 563, 106, 45, 806 is 1.

Therefore, GCD of numbers 563, 106, 45, 806 is 1

Given Input Data is 563, 106, 45, 806

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

Prime Factorization of 563 is 563

Prime Factorization of 106 is 2 x 53

Prime Factorization of 45 is 3 x 3 x 5

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(563, 106) = 59678

GCD(563, 106) = ( 563 x 106 ) / 59678

GCD(563, 106) = 59678 / 59678

GCD(563, 106) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 45

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

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

GCD(1, 45) = 45 / 45

GCD(1, 45) = 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 563, 106, 45, 806 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 900, 751, 34, 573
• GCD of 898, 453, 88, 167
• GCD of 586, 695, 67, 299
• GCD of 805, 733, 11, 562
• GCD of 573, 808, 69, 698

1. What is the GCD of 563, 106, 45, 806?

GCD of 563, 106, 45, 806 is 1

2. Where do I get the detailed procedure to find GCD of 563, 106, 45, 806?

You can find a detailed procedure to find GCD of 563, 106, 45, 806 on our page.

3. How to find GCD of 563, 106, 45, 806 on a calculator?

You can find the GCD of 563, 106, 45, 806 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.