GCD of 17, 123, 494, 290 Calculator

Given Input numbers are 17, 123, 494, 290

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 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Divisors of 494

List of positive integer divisors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 290

List of positive integer divisors of 290 that divides 290 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290

Greatest Common Divisior

We found the divisors of 17, 123, 494, 290 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 17, 123, 494, 290 is 1.

Therefore, GCD of numbers 17, 123, 494, 290 is 1

Given Input Data is 17, 123, 494, 290

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

Prime Factorization of 17 is 17

Prime Factorization of 123 is 3 x 41

Prime Factorization of 494 is 2 x 13 x 19

Prime Factorization of 290 is 2 x 5 x 29

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, 123) = 2091

GCD(17, 123) = ( 17 x 123 ) / 2091

GCD(17, 123) = 2091 / 2091

GCD(17, 123) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 494

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

LCM(1, 494) = 494

GCD(1, 494) = ( 1 x 494 ) / 494

GCD(1, 494) = 494 / 494

GCD(1, 494) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 290

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

LCM(1, 290) = 290

GCD(1, 290) = ( 1 x 290 ) / 290

GCD(1, 290) = 290 / 290

GCD(1, 290) = 1

GCD of 17, 123, 494, 290 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 75, 657, 243, 241
• GCD of 46, 355, 701, 750
• GCD of 76, 210, 103, 288
• GCD of 89, 494, 867, 573
• GCD of 16, 981, 621, 641

1. What is the GCD of 17, 123, 494, 290?

GCD of 17, 123, 494, 290 is 1

2. Where do I get the detailed procedure to find GCD of 17, 123, 494, 290?

You can find a detailed procedure to find GCD of 17, 123, 494, 290 on our page.

3. How to find GCD of 17, 123, 494, 290 on a calculator?

You can find the GCD of 17, 123, 494, 290 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.