GCD of 344, 515, 704, 518 Calculator

Given Input numbers are 344, 515, 704, 518

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

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 515

List of positive integer divisors of 515 that divides 515 without a remainder.

1, 5, 103, 515

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

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 344, 515, 704, 518 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 344, 515, 704, 518 is 1.

Therefore, GCD of numbers 344, 515, 704, 518 is 1

Given Input Data is 344, 515, 704, 518

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

Prime Factorization of 344 is 2 x 2 x 2 x 43

Prime Factorization of 515 is 5 x 103

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 518 is 2 x 7 x 37

The above numbers do not have any common prime factor. So GCD is 1

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(344, 515) = 177160

GCD(344, 515) = ( 344 x 515 ) / 177160

GCD(344, 515) = 177160 / 177160

GCD(344, 515) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 704

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

LCM(1, 704) = 704

GCD(1, 704) = ( 1 x 704 ) / 704

GCD(1, 704) = 704 / 704

GCD(1, 704) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 518

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

LCM(1, 518) = 518

GCD(1, 518) = ( 1 x 518 ) / 518

GCD(1, 518) = 518 / 518

GCD(1, 518) = 1

GCD of 344, 515, 704, 518 is 1

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1. What is the GCD of 344, 515, 704, 518?

GCD of 344, 515, 704, 518 is 1

2. Where do I get the detailed procedure to find GCD of 344, 515, 704, 518?

You can find a detailed procedure to find GCD of 344, 515, 704, 518 on our page.

3. How to find GCD of 344, 515, 704, 518 on a calculator?

You can find the GCD of 344, 515, 704, 518 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.