GCD of 500, 545, 806 Calculator

Given Input numbers are 500, 545, 806

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

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 545

List of positive integer divisors of 545 that divides 545 without a remainder.

1, 5, 109, 545

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 500, 545, 806 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 500, 545, 806 is 1.

Therefore, GCD of numbers 500, 545, 806 is 1

Given Input Data is 500, 545, 806

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

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 545 is 5 x 109

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(500, 545) = 54500

GCD(500, 545) = ( 500 x 545 ) / 54500

GCD(500, 545) = 272500 / 54500

GCD(500, 545) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 806

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

LCM(5, 806) = 4030

GCD(5, 806) = ( 5 x 806 ) / 4030

GCD(5, 806) = 4030 / 4030

GCD(5, 806) = 1

GCD of 500, 545, 806 is 1

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1. What is the GCD of 500, 545, 806?

GCD of 500, 545, 806 is 1

2. Where do I get the detailed procedure to find GCD of 500, 545, 806?

You can find a detailed procedure to find GCD of 500, 545, 806 on our page.

3. How to find GCD of 500, 545, 806 on a calculator?

You can find the GCD of 500, 545, 806 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.