GCD of 501, 365, 456, 806 Calculator

Given Input numbers are 501, 365, 456, 806

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

Divisors of 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Divisors of 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

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 501, 365, 456, 806 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 501, 365, 456, 806 is 1.

Therefore, GCD of numbers 501, 365, 456, 806 is 1

Given Input Data is 501, 365, 456, 806

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

Prime Factorization of 501 is 3 x 167

Prime Factorization of 365 is 5 x 73

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

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(501, 365) = 182865

GCD(501, 365) = ( 501 x 365 ) / 182865

GCD(501, 365) = 182865 / 182865

GCD(501, 365) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 456

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

LCM(1, 456) = 456

GCD(1, 456) = ( 1 x 456 ) / 456

GCD(1, 456) = 456 / 456

GCD(1, 456) = 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 501, 365, 456, 806 is 1

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1. What is the GCD of 501, 365, 456, 806?

GCD of 501, 365, 456, 806 is 1

2. Where do I get the detailed procedure to find GCD of 501, 365, 456, 806?

You can find a detailed procedure to find GCD of 501, 365, 456, 806 on our page.

3. How to find GCD of 501, 365, 456, 806 on a calculator?

You can find the GCD of 501, 365, 456, 806 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.