GCD of 506, 368, 443, 694 Calculator

Given Input numbers are 506, 368, 443, 694

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 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Divisors of 443

List of positive integer divisors of 443 that divides 443 without a remainder.

1, 443

Divisors of 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Greatest Common Divisior

We found the divisors of 506, 368, 443, 694 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 506, 368, 443, 694 is 1.

Therefore, GCD of numbers 506, 368, 443, 694 is 1

Given Input Data is 506, 368, 443, 694

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 368 is 2 x 2 x 2 x 2 x 23

Prime Factorization of 443 is 443

Prime Factorization of 694 is 2 x 347

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, 368) = 4048

GCD(506, 368) = ( 506 x 368 ) / 4048

GCD(506, 368) = 186208 / 4048

GCD(506, 368) = 46

Step2:

Here we consider the GCD from the above i.e. 46 as first number and the next as 443

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

LCM(46, 443) = 20378

GCD(46, 443) = ( 46 x 443 ) / 20378

GCD(46, 443) = 20378 / 20378

GCD(46, 443) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 694

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

LCM(1, 694) = 694

GCD(1, 694) = ( 1 x 694 ) / 694

GCD(1, 694) = 694 / 694

GCD(1, 694) = 1

GCD of 506, 368, 443, 694 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 913, 349, 446, 988
• GCD of 183, 687, 320, 187
• GCD of 424, 314, 481, 462
• GCD of 726, 106, 567, 476
• GCD of 188, 215, 273, 690

1. What is the GCD of 506, 368, 443, 694?

GCD of 506, 368, 443, 694 is 1

2. Where do I get the detailed procedure to find GCD of 506, 368, 443, 694?

You can find a detailed procedure to find GCD of 506, 368, 443, 694 on our page.

3. How to find GCD of 506, 368, 443, 694 on a calculator?

You can find the GCD of 506, 368, 443, 694 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.