GCD of 308, 530, 866, 652 Calculator

Given Input numbers are 308, 530, 866, 652

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

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 530

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

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

Divisors of 866

List of positive integer divisors of 866 that divides 866 without a remainder.

1, 2, 433, 866

Divisors of 652

List of positive integer divisors of 652 that divides 652 without a remainder.

1, 2, 4, 163, 326, 652

Greatest Common Divisior

We found the divisors of 308, 530, 866, 652 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 308, 530, 866, 652 is 2.

Therefore, GCD of numbers 308, 530, 866, 652 is 2

Given Input Data is 308, 530, 866, 652

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

Prime Factorization of 308 is 2 x 2 x 7 x 11

Prime Factorization of 530 is 2 x 5 x 53

Prime Factorization of 866 is 2 x 433

Prime Factorization of 652 is 2 x 2 x 163

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(308, 530) = 81620

GCD(308, 530) = ( 308 x 530 ) / 81620

GCD(308, 530) = 163240 / 81620

GCD(308, 530) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 866

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

LCM(2, 866) = 866

GCD(2, 866) = ( 2 x 866 ) / 866

GCD(2, 866) = 1732 / 866

GCD(2, 866) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 652

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

LCM(2, 652) = 652

GCD(2, 652) = ( 2 x 652 ) / 652

GCD(2, 652) = 1304 / 652

GCD(2, 652) = 2

GCD of 308, 530, 866, 652 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 191, 322, 589, 177
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• GCD of 396, 961, 148, 681
• GCD of 189, 432, 284, 274
• GCD of 971, 909, 379, 607

1. What is the GCD of 308, 530, 866, 652?

GCD of 308, 530, 866, 652 is 2

2. Where do I get the detailed procedure to find GCD of 308, 530, 866, 652?

You can find a detailed procedure to find GCD of 308, 530, 866, 652 on our page.

3. How to find GCD of 308, 530, 866, 652 on a calculator?

You can find the GCD of 308, 530, 866, 652 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.