GCD of 518, 734, 15, 516 Calculator

Given Input numbers are 518, 734, 15, 516

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 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

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 518, 734, 15, 516 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 518, 734, 15, 516 is 1.

Therefore, GCD of numbers 518, 734, 15, 516 is 1

Given Input Data is 518, 734, 15, 516

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 734 is 2 x 367

Prime Factorization of 15 is 3 x 5

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

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(518, 734) = 190106

GCD(518, 734) = ( 518 x 734 ) / 190106

GCD(518, 734) = 380212 / 190106

GCD(518, 734) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 15

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

LCM(2, 15) = 30

GCD(2, 15) = ( 2 x 15 ) / 30

GCD(2, 15) = 30 / 30

GCD(2, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 516

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

LCM(1, 516) = 516

GCD(1, 516) = ( 1 x 516 ) / 516

GCD(1, 516) = 516 / 516

GCD(1, 516) = 1

GCD of 518, 734, 15, 516 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 445, 300, 12, 437
• GCD of 807, 634, 23, 546
• GCD of 211, 694, 46, 388
• GCD of 474, 961, 67, 825
• GCD of 341, 802, 30, 445

1. What is the GCD of 518, 734, 15, 516?

GCD of 518, 734, 15, 516 is 1

2. Where do I get the detailed procedure to find GCD of 518, 734, 15, 516?

You can find a detailed procedure to find GCD of 518, 734, 15, 516 on our page.

3. How to find GCD of 518, 734, 15, 516 on a calculator?

You can find the GCD of 518, 734, 15, 516 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.