GCD of 310, 530, 516 Calculator

Given Input numbers are 310, 530, 516

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

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

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 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Greatest Common Divisior

We found the divisors of 310, 530, 516 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 310, 530, 516 is 2.

Therefore, GCD of numbers 310, 530, 516 is 2

Given Input Data is 310, 530, 516

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

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 530 is 2 x 5 x 53

Prime Factorization of 516 is 2 x 2 x 3 x 43

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(310, 530) = 16430

GCD(310, 530) = ( 310 x 530 ) / 16430

GCD(310, 530) = 164300 / 16430

GCD(310, 530) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 516

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

LCM(10, 516) = 2580

GCD(10, 516) = ( 10 x 516 ) / 2580

GCD(10, 516) = 5160 / 2580

GCD(10, 516) = 2

GCD of 310, 530, 516 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 566, 116, 143
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• GCD of 526, 379, 680
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1. What is the GCD of 310, 530, 516?

GCD of 310, 530, 516 is 2

2. Where do I get the detailed procedure to find GCD of 310, 530, 516?

You can find a detailed procedure to find GCD of 310, 530, 516 on our page.

3. How to find GCD of 310, 530, 516 on a calculator?

You can find the GCD of 310, 530, 516 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.