GCD of 10, 320, 299, 517 Calculator

Given Input numbers are 10, 320, 299, 517

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

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Divisors of 517

List of positive integer divisors of 517 that divides 517 without a remainder.

1, 11, 47, 517

Greatest Common Divisior

We found the divisors of 10, 320, 299, 517 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 320, 299, 517 is 1.

Therefore, GCD of numbers 10, 320, 299, 517 is 1

Given Input Data is 10, 320, 299, 517

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

Prime Factorization of 10 is 2 x 5

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 299 is 13 x 23

Prime Factorization of 517 is 11 x 47

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(10, 320) = 320

GCD(10, 320) = ( 10 x 320 ) / 320

GCD(10, 320) = 3200 / 320

GCD(10, 320) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 299

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

LCM(10, 299) = 2990

GCD(10, 299) = ( 10 x 299 ) / 2990

GCD(10, 299) = 2990 / 2990

GCD(10, 299) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 517

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

LCM(1, 517) = 517

GCD(1, 517) = ( 1 x 517 ) / 517

GCD(1, 517) = 517 / 517

GCD(1, 517) = 1

GCD of 10, 320, 299, 517 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 27, 374, 118, 336
• GCD of 25, 421, 249, 802
• GCD of 45, 292, 579, 148
• GCD of 56, 838, 989, 859
• GCD of 82, 566, 828, 242

1. What is the GCD of 10, 320, 299, 517?

GCD of 10, 320, 299, 517 is 1

2. Where do I get the detailed procedure to find GCD of 10, 320, 299, 517?

You can find a detailed procedure to find GCD of 10, 320, 299, 517 on our page.

3. How to find GCD of 10, 320, 299, 517 on a calculator?

You can find the GCD of 10, 320, 299, 517 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.