GCD of 298, 809, 505 Calculator

Given Input numbers are 298, 809, 505

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

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 809

List of positive integer divisors of 809 that divides 809 without a remainder.

1, 809

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Greatest Common Divisior

We found the divisors of 298, 809, 505 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 298, 809, 505 is 1.

Therefore, GCD of numbers 298, 809, 505 is 1

Given Input Data is 298, 809, 505

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

Prime Factorization of 298 is 2 x 149

Prime Factorization of 809 is 809

Prime Factorization of 505 is 5 x 101

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(298, 809) = 241082

GCD(298, 809) = ( 298 x 809 ) / 241082

GCD(298, 809) = 241082 / 241082

GCD(298, 809) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 505

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

LCM(1, 505) = 505

GCD(1, 505) = ( 1 x 505 ) / 505

GCD(1, 505) = 505 / 505

GCD(1, 505) = 1

GCD of 298, 809, 505 is 1

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1. What is the GCD of 298, 809, 505?

GCD of 298, 809, 505 is 1

2. Where do I get the detailed procedure to find GCD of 298, 809, 505?

You can find a detailed procedure to find GCD of 298, 809, 505 on our page.

3. How to find GCD of 298, 809, 505 on a calculator?

You can find the GCD of 298, 809, 505 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.