GCD of 506, 713, 902 Calculator

Given Input numbers are 506, 713, 902

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

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Divisors of 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Greatest Common Divisior

We found the divisors of 506, 713, 902 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 506, 713, 902 is 1.

Therefore, GCD of numbers 506, 713, 902 is 1

Given Input Data is 506, 713, 902

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

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 713 is 23 x 31

Prime Factorization of 902 is 2 x 11 x 41

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(506, 713) = 15686

GCD(506, 713) = ( 506 x 713 ) / 15686

GCD(506, 713) = 360778 / 15686

GCD(506, 713) = 23

Step2:

Here we consider the GCD from the above i.e. 23 as first number and the next as 902

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

LCM(23, 902) = 20746

GCD(23, 902) = ( 23 x 902 ) / 20746

GCD(23, 902) = 20746 / 20746

GCD(23, 902) = 1

GCD of 506, 713, 902 is 1

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1. What is the GCD of 506, 713, 902?

GCD of 506, 713, 902 is 1

2. Where do I get the detailed procedure to find GCD of 506, 713, 902?

You can find a detailed procedure to find GCD of 506, 713, 902 on our page.

3. How to find GCD of 506, 713, 902 on a calculator?

You can find the GCD of 506, 713, 902 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.