GCD of 312, 144, 530, 488 Calculator

Given Input numbers are 312, 144, 530, 488

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

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

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 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Greatest Common Divisior

We found the divisors of 312, 144, 530, 488 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 312, 144, 530, 488 is 2.

Therefore, GCD of numbers 312, 144, 530, 488 is 2

Given Input Data is 312, 144, 530, 488

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

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 530 is 2 x 5 x 53

Prime Factorization of 488 is 2 x 2 x 2 x 61

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(312, 144) = 1872

GCD(312, 144) = ( 312 x 144 ) / 1872

GCD(312, 144) = 44928 / 1872

GCD(312, 144) = 24

Step2:

Here we consider the GCD from the above i.e. 24 as first number and the next as 530

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

LCM(24, 530) = 6360

GCD(24, 530) = ( 24 x 530 ) / 6360

GCD(24, 530) = 12720 / 6360

GCD(24, 530) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 488

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

LCM(2, 488) = 488

GCD(2, 488) = ( 2 x 488 ) / 488

GCD(2, 488) = 976 / 488

GCD(2, 488) = 2

GCD of 312, 144, 530, 488 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 496, 137, 222, 585
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• GCD of 655, 713, 853, 630

1. What is the GCD of 312, 144, 530, 488?

GCD of 312, 144, 530, 488 is 2

2. Where do I get the detailed procedure to find GCD of 312, 144, 530, 488?

You can find a detailed procedure to find GCD of 312, 144, 530, 488 on our page.

3. How to find GCD of 312, 144, 530, 488 on a calculator?

You can find the GCD of 312, 144, 530, 488 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.