GCD of 518, 514, 310 Calculator

Given Input numbers are 518, 514, 310

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

Divisors of 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Divisors of 310

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

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

Greatest Common Divisior

We found the divisors of 518, 514, 310 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 518, 514, 310 is 2.

Therefore, GCD of numbers 518, 514, 310 is 2

Given Input Data is 518, 514, 310

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

Prime Factorization of 518 is 2 x 7 x 37

Prime Factorization of 514 is 2 x 257

Prime Factorization of 310 is 2 x 5 x 31

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(518, 514) = 133126

GCD(518, 514) = ( 518 x 514 ) / 133126

GCD(518, 514) = 266252 / 133126

GCD(518, 514) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 310

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

LCM(2, 310) = 310

GCD(2, 310) = ( 2 x 310 ) / 310

GCD(2, 310) = 620 / 310

GCD(2, 310) = 2

GCD of 518, 514, 310 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 484, 644, 798
• GCD of 956, 496, 308
• GCD of 714, 588, 873
• GCD of 317, 228, 198
• GCD of 614, 514, 983

1. What is the GCD of 518, 514, 310?

GCD of 518, 514, 310 is 2

2. Where do I get the detailed procedure to find GCD of 518, 514, 310?

You can find a detailed procedure to find GCD of 518, 514, 310 on our page.

3. How to find GCD of 518, 514, 310 on a calculator?

You can find the GCD of 518, 514, 310 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.