GCD of 506, 721, 68, 774 Calculator

Given Input numbers are 506, 721, 68, 774

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 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Greatest Common Divisior

We found the divisors of 506, 721, 68, 774 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 506, 721, 68, 774 is 1.

Therefore, GCD of numbers 506, 721, 68, 774 is 1

Given Input Data is 506, 721, 68, 774

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 721 is 7 x 103

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 774 is 2 x 3 x 3 x 43

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, 721) = 364826

GCD(506, 721) = ( 506 x 721 ) / 364826

GCD(506, 721) = 364826 / 364826

GCD(506, 721) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 68

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

LCM(1, 68) = 68

GCD(1, 68) = ( 1 x 68 ) / 68

GCD(1, 68) = 68 / 68

GCD(1, 68) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 774

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

LCM(1, 774) = 774

GCD(1, 774) = ( 1 x 774 ) / 774

GCD(1, 774) = 774 / 774

GCD(1, 774) = 1

GCD of 506, 721, 68, 774 is 1

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• GCD of 621, 520, 70, 543
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• GCD of 661, 323, 89, 701

1. What is the GCD of 506, 721, 68, 774?

GCD of 506, 721, 68, 774 is 1

2. Where do I get the detailed procedure to find GCD of 506, 721, 68, 774?

You can find a detailed procedure to find GCD of 506, 721, 68, 774 on our page.

3. How to find GCD of 506, 721, 68, 774 on a calculator?

You can find the GCD of 506, 721, 68, 774 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.