GCD of 17, 715, 353, 108 Calculator

Given Input numbers are 17, 715, 353, 108

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

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 715

List of positive integer divisors of 715 that divides 715 without a remainder.

1, 5, 11, 13, 55, 65, 143, 715

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Greatest Common Divisior

We found the divisors of 17, 715, 353, 108 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 17, 715, 353, 108 is 1.

Therefore, GCD of numbers 17, 715, 353, 108 is 1

Given Input Data is 17, 715, 353, 108

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

Prime Factorization of 17 is 17

Prime Factorization of 715 is 5 x 11 x 13

Prime Factorization of 353 is 353

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

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(17, 715) = 12155

GCD(17, 715) = ( 17 x 715 ) / 12155

GCD(17, 715) = 12155 / 12155

GCD(17, 715) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 353

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

LCM(1, 353) = 353

GCD(1, 353) = ( 1 x 353 ) / 353

GCD(1, 353) = 353 / 353

GCD(1, 353) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 108

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

LCM(1, 108) = 108

GCD(1, 108) = ( 1 x 108 ) / 108

GCD(1, 108) = 108 / 108

GCD(1, 108) = 1

GCD of 17, 715, 353, 108 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 18, 434, 216, 414
• GCD of 90, 698, 457, 564
• GCD of 52, 361, 547, 582
• GCD of 35, 466, 718, 714
• GCD of 18, 686, 854, 451

1. What is the GCD of 17, 715, 353, 108?

GCD of 17, 715, 353, 108 is 1

2. Where do I get the detailed procedure to find GCD of 17, 715, 353, 108?

You can find a detailed procedure to find GCD of 17, 715, 353, 108 on our page.

3. How to find GCD of 17, 715, 353, 108 on a calculator?

You can find the GCD of 17, 715, 353, 108 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.