GCD of 490, 191, 17, 989 Calculator

Given Input numbers are 490, 191, 17, 989

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

Divisors of 490

List of positive integer divisors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 191

List of positive integer divisors of 191 that divides 191 without a remainder.

1, 191

Divisors of 17

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

1, 17

Divisors of 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Greatest Common Divisior

We found the divisors of 490, 191, 17, 989 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 490, 191, 17, 989 is 1.

Therefore, GCD of numbers 490, 191, 17, 989 is 1

Given Input Data is 490, 191, 17, 989

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

Prime Factorization of 490 is 2 x 5 x 7 x 7

Prime Factorization of 191 is 191

Prime Factorization of 17 is 17

Prime Factorization of 989 is 23 x 43

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(490, 191) = 93590

GCD(490, 191) = ( 490 x 191 ) / 93590

GCD(490, 191) = 93590 / 93590

GCD(490, 191) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 17

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

LCM(1, 17) = 17

GCD(1, 17) = ( 1 x 17 ) / 17

GCD(1, 17) = 17 / 17

GCD(1, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 989

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

LCM(1, 989) = 989

GCD(1, 989) = ( 1 x 989 ) / 989

GCD(1, 989) = 989 / 989

GCD(1, 989) = 1

GCD of 490, 191, 17, 989 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 373, 929, 22, 454
• GCD of 829, 129, 41, 466
• GCD of 604, 462, 45, 704
• GCD of 128, 624, 13, 236
• GCD of 518, 744, 55, 716

1. What is the GCD of 490, 191, 17, 989?

GCD of 490, 191, 17, 989 is 1

2. Where do I get the detailed procedure to find GCD of 490, 191, 17, 989?

You can find a detailed procedure to find GCD of 490, 191, 17, 989 on our page.

3. How to find GCD of 490, 191, 17, 989 on a calculator?

You can find the GCD of 490, 191, 17, 989 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.