GCD of 17, 715, 288, 680 Calculator

Given Input numbers are 17, 715, 288, 680

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 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Greatest Common Divisior

We found the divisors of 17, 715, 288, 680 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 17, 715, 288, 680 is 1.

Therefore, GCD of numbers 17, 715, 288, 680 is 1

Given Input Data is 17, 715, 288, 680

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 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

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 288

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

LCM(1, 288) = 288

GCD(1, 288) = ( 1 x 288 ) / 288

GCD(1, 288) = 288 / 288

GCD(1, 288) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 680

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

LCM(1, 680) = 680

GCD(1, 680) = ( 1 x 680 ) / 680

GCD(1, 680) = 680 / 680

GCD(1, 680) = 1

GCD of 17, 715, 288, 680 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 55, 630, 356, 788
• GCD of 18, 351, 905, 436
• GCD of 61, 167, 951, 478
• GCD of 47, 653, 299, 158
• GCD of 83, 655, 776, 209

1. What is the GCD of 17, 715, 288, 680?

GCD of 17, 715, 288, 680 is 1

2. Where do I get the detailed procedure to find GCD of 17, 715, 288, 680?

You can find a detailed procedure to find GCD of 17, 715, 288, 680 on our page.

3. How to find GCD of 17, 715, 288, 680 on a calculator?

You can find the GCD of 17, 715, 288, 680 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.