GCD of 17, 782, 198, 113 Calculator

Given Input numbers are 17, 782, 198, 113

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 782

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

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

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Greatest Common Divisior

We found the divisors of 17, 782, 198, 113 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 17, 782, 198, 113 is 1.

Therefore, GCD of numbers 17, 782, 198, 113 is 1

Given Input Data is 17, 782, 198, 113

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

Prime Factorization of 17 is 17

Prime Factorization of 782 is 2 x 17 x 23

Prime Factorization of 198 is 2 x 3 x 3 x 11

Prime Factorization of 113 is 113

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, 782) = 782

GCD(17, 782) = ( 17 x 782 ) / 782

GCD(17, 782) = 13294 / 782

GCD(17, 782) = 17

Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 198

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

LCM(17, 198) = 3366

GCD(17, 198) = ( 17 x 198 ) / 3366

GCD(17, 198) = 3366 / 3366

GCD(17, 198) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 113

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

LCM(1, 113) = 113

GCD(1, 113) = ( 1 x 113 ) / 113

GCD(1, 113) = 113 / 113

GCD(1, 113) = 1

GCD of 17, 782, 198, 113 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 49, 745, 446, 139
• GCD of 36, 355, 245, 727
• GCD of 18, 227, 417, 401
• GCD of 36, 610, 835, 905
• GCD of 32, 236, 902, 849

1. What is the GCD of 17, 782, 198, 113?

GCD of 17, 782, 198, 113 is 1

2. Where do I get the detailed procedure to find GCD of 17, 782, 198, 113?

You can find a detailed procedure to find GCD of 17, 782, 198, 113 on our page.

3. How to find GCD of 17, 782, 198, 113 on a calculator?

You can find the GCD of 17, 782, 198, 113 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.