GCD of 989, 116, 19, 306 Calculator

Given Input numbers are 989, 116, 19, 306

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

Divisors of 989

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

1, 23, 43, 989

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Greatest Common Divisior

We found the divisors of 989, 116, 19, 306 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 989, 116, 19, 306 is 1.

Therefore, GCD of numbers 989, 116, 19, 306 is 1

Given Input Data is 989, 116, 19, 306

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

Prime Factorization of 989 is 23 x 43

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 19 is 19

Prime Factorization of 306 is 2 x 3 x 3 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(989, 116) = 114724

GCD(989, 116) = ( 989 x 116 ) / 114724

GCD(989, 116) = 114724 / 114724

GCD(989, 116) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 19

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

LCM(1, 19) = 19

GCD(1, 19) = ( 1 x 19 ) / 19

GCD(1, 19) = 19 / 19

GCD(1, 19) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 306

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

LCM(1, 306) = 306

GCD(1, 306) = ( 1 x 306 ) / 306

GCD(1, 306) = 306 / 306

GCD(1, 306) = 1

GCD of 989, 116, 19, 306 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 359, 961, 10, 327
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• GCD of 933, 705, 53, 959
• GCD of 954, 191, 46, 219
• GCD of 392, 836, 40, 191

1. What is the GCD of 989, 116, 19, 306?

GCD of 989, 116, 19, 306 is 1

2. Where do I get the detailed procedure to find GCD of 989, 116, 19, 306?

You can find a detailed procedure to find GCD of 989, 116, 19, 306 on our page.

3. How to find GCD of 989, 116, 19, 306 on a calculator?

You can find the GCD of 989, 116, 19, 306 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.