GCD of 228, 496, 402, 530 Calculator

Given Input numbers are 228, 496, 402, 530

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

Divisors of 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

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 228, 496, 402, 530 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 228, 496, 402, 530 is 2.

Therefore, GCD of numbers 228, 496, 402, 530 is 2

Given Input Data is 228, 496, 402, 530

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

Prime Factorization of 228 is 2 x 2 x 3 x 19

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

Prime Factorization of 402 is 2 x 3 x 67

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(228, 496) = 28272

GCD(228, 496) = ( 228 x 496 ) / 28272

GCD(228, 496) = 113088 / 28272

GCD(228, 496) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 402

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

LCM(4, 402) = 804

GCD(4, 402) = ( 4 x 402 ) / 804

GCD(4, 402) = 1608 / 804

GCD(4, 402) = 2

Step3:

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

GCD of 228, 496, 402, 530 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 729, 176, 497, 187
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1. What is the GCD of 228, 496, 402, 530?

GCD of 228, 496, 402, 530 is 2

2. Where do I get the detailed procedure to find GCD of 228, 496, 402, 530?

You can find a detailed procedure to find GCD of 228, 496, 402, 530 on our page.

3. How to find GCD of 228, 496, 402, 530 on a calculator?

You can find the GCD of 228, 496, 402, 530 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.