GCD of 768, 336, 710, 518 Calculator

Given Input numbers are 768, 336, 710, 518

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

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 336

List of positive integer divisors of 336 that divides 336 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 710

List of positive integer divisors of 710 that divides 710 without a remainder.

1, 2, 5, 10, 71, 142, 355, 710

Divisors of 518

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

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

Greatest Common Divisior

We found the divisors of 768, 336, 710, 518 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 768, 336, 710, 518 is 2.

Therefore, GCD of numbers 768, 336, 710, 518 is 2

Given Input Data is 768, 336, 710, 518

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

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 710 is 2 x 5 x 71

Prime Factorization of 518 is 2 x 7 x 37

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(768, 336) = 5376

GCD(768, 336) = ( 768 x 336 ) / 5376

GCD(768, 336) = 258048 / 5376

GCD(768, 336) = 48

Step2:

Here we consider the GCD from the above i.e. 48 as first number and the next as 710

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

LCM(48, 710) = 17040

GCD(48, 710) = ( 48 x 710 ) / 17040

GCD(48, 710) = 34080 / 17040

GCD(48, 710) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 518

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

LCM(2, 518) = 518

GCD(2, 518) = ( 2 x 518 ) / 518

GCD(2, 518) = 1036 / 518

GCD(2, 518) = 2

GCD of 768, 336, 710, 518 is 2

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1. What is the GCD of 768, 336, 710, 518?

GCD of 768, 336, 710, 518 is 2

2. Where do I get the detailed procedure to find GCD of 768, 336, 710, 518?

You can find a detailed procedure to find GCD of 768, 336, 710, 518 on our page.

3. How to find GCD of 768, 336, 710, 518 on a calculator?

You can find the GCD of 768, 336, 710, 518 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.