GCD of 508, 864, 518, 316 Calculator

Given Input numbers are 508, 864, 518, 316

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

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

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 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Greatest Common Divisior

We found the divisors of 508, 864, 518, 316 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 508, 864, 518, 316 is 2.

Therefore, GCD of numbers 508, 864, 518, 316 is 2

Given Input Data is 508, 864, 518, 316

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

Prime Factorization of 508 is 2 x 2 x 127

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 518 is 2 x 7 x 37

Prime Factorization of 316 is 2 x 2 x 79

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(508, 864) = 109728

GCD(508, 864) = ( 508 x 864 ) / 109728

GCD(508, 864) = 438912 / 109728

GCD(508, 864) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 518

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

LCM(4, 518) = 1036

GCD(4, 518) = ( 4 x 518 ) / 1036

GCD(4, 518) = 2072 / 1036

GCD(4, 518) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 316

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

LCM(2, 316) = 316

GCD(2, 316) = ( 2 x 316 ) / 316

GCD(2, 316) = 632 / 316

GCD(2, 316) = 2

GCD of 508, 864, 518, 316 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 998, 139, 880, 293
• GCD of 179, 246, 635, 475
• GCD of 127, 161, 114, 964
• GCD of 828, 824, 837, 192
• GCD of 874, 358, 684, 206

1. What is the GCD of 508, 864, 518, 316?

GCD of 508, 864, 518, 316 is 2

2. Where do I get the detailed procedure to find GCD of 508, 864, 518, 316?

You can find a detailed procedure to find GCD of 508, 864, 518, 316 on our page.

3. How to find GCD of 508, 864, 518, 316 on a calculator?

You can find the GCD of 508, 864, 518, 316 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.