GCD of 16, 514, 259, 782 Calculator

Given Input numbers are 16, 514, 259, 782

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

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 514

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

1, 2, 257, 514

Divisors of 259

List of positive integer divisors of 259 that divides 259 without a remainder.

1, 7, 37, 259

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Greatest Common Divisior

We found the divisors of 16, 514, 259, 782 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 16, 514, 259, 782 is 1.

Therefore, GCD of numbers 16, 514, 259, 782 is 1

Given Input Data is 16, 514, 259, 782

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

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 514 is 2 x 257

Prime Factorization of 259 is 7 x 37

Prime Factorization of 782 is 2 x 17 x 23

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(16, 514) = 4112

GCD(16, 514) = ( 16 x 514 ) / 4112

GCD(16, 514) = 8224 / 4112

GCD(16, 514) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 259

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

LCM(2, 259) = 518

GCD(2, 259) = ( 2 x 259 ) / 518

GCD(2, 259) = 518 / 518

GCD(2, 259) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 782

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

LCM(1, 782) = 782

GCD(1, 782) = ( 1 x 782 ) / 782

GCD(1, 782) = 782 / 782

GCD(1, 782) = 1

GCD of 16, 514, 259, 782 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 31, 828, 392, 217
• GCD of 81, 444, 689, 424
• GCD of 52, 771, 701, 335
• GCD of 39, 427, 886, 885
• GCD of 71, 162, 167, 888

1. What is the GCD of 16, 514, 259, 782?

GCD of 16, 514, 259, 782 is 1

2. Where do I get the detailed procedure to find GCD of 16, 514, 259, 782?

You can find a detailed procedure to find GCD of 16, 514, 259, 782 on our page.

3. How to find GCD of 16, 514, 259, 782 on a calculator?

You can find the GCD of 16, 514, 259, 782 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.