GCD of 998, 636, 530, 444 Calculator

Given Input numbers are 998, 636, 530, 444

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

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Divisors of 636

List of positive integer divisors of 636 that divides 636 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

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 444

List of positive integer divisors of 444 that divides 444 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Greatest Common Divisior

We found the divisors of 998, 636, 530, 444 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 998, 636, 530, 444 is 2.

Therefore, GCD of numbers 998, 636, 530, 444 is 2

Given Input Data is 998, 636, 530, 444

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

Prime Factorization of 998 is 2 x 499

Prime Factorization of 636 is 2 x 2 x 3 x 53

Prime Factorization of 530 is 2 x 5 x 53

Prime Factorization of 444 is 2 x 2 x 3 x 37

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(998, 636) = 317364

GCD(998, 636) = ( 998 x 636 ) / 317364

GCD(998, 636) = 634728 / 317364

GCD(998, 636) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 530

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

LCM(2, 530) = 530

GCD(2, 530) = ( 2 x 530 ) / 530

GCD(2, 530) = 1060 / 530

GCD(2, 530) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 444

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

LCM(2, 444) = 444

GCD(2, 444) = ( 2 x 444 ) / 444

GCD(2, 444) = 888 / 444

GCD(2, 444) = 2

GCD of 998, 636, 530, 444 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 853, 238, 202, 669
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• GCD of 652, 558, 405, 447
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• GCD of 398, 790, 701, 105

1. What is the GCD of 998, 636, 530, 444?

GCD of 998, 636, 530, 444 is 2

2. Where do I get the detailed procedure to find GCD of 998, 636, 530, 444?

You can find a detailed procedure to find GCD of 998, 636, 530, 444 on our page.

3. How to find GCD of 998, 636, 530, 444 on a calculator?

You can find the GCD of 998, 636, 530, 444 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.