GCD of 728, 500, 68, 530 Calculator

Given Input numbers are 728, 500, 68, 530

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

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 68

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

1, 2, 4, 17, 34, 68

Divisors of 530

List of positive integer divisors of 530 that divides 530 without a remainder.

1, 2, 5, 10, 53, 106, 265, 530

Greatest Common Divisior

We found the divisors of 728, 500, 68, 530 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 728, 500, 68, 530 is 2.

Therefore, GCD of numbers 728, 500, 68, 530 is 2

Given Input Data is 728, 500, 68, 530

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

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 530 is 2 x 5 x 53

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(728, 500) = 91000

GCD(728, 500) = ( 728 x 500 ) / 91000

GCD(728, 500) = 364000 / 91000

GCD(728, 500) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 68

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

LCM(4, 68) = 68

GCD(4, 68) = ( 4 x 68 ) / 68

GCD(4, 68) = 272 / 68

GCD(4, 68) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 530

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

LCM(4, 530) = 1060

GCD(4, 530) = ( 4 x 530 ) / 1060

GCD(4, 530) = 2120 / 1060

GCD(4, 530) = 2

GCD of 728, 500, 68, 530 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 997, 441, 59, 187
• GCD of 548, 619, 18, 839
• GCD of 350, 923, 86, 768
• GCD of 461, 641, 39, 586
• GCD of 664, 342, 13, 300

1. What is the GCD of 728, 500, 68, 530?

GCD of 728, 500, 68, 530 is 2

2. Where do I get the detailed procedure to find GCD of 728, 500, 68, 530?

You can find a detailed procedure to find GCD of 728, 500, 68, 530 on our page.

3. How to find GCD of 728, 500, 68, 530 on a calculator?

You can find the GCD of 728, 500, 68, 530 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.