GCD of 981, 994, 14, 289 Calculator

Given Input numbers are 981, 994, 14, 289

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

Divisors of 981

List of positive integer divisors of 981 that divides 981 without a remainder.

1, 3, 9, 109, 327, 981

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Greatest Common Divisior

We found the divisors of 981, 994, 14, 289 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 981, 994, 14, 289 is 1.

Therefore, GCD of numbers 981, 994, 14, 289 is 1

Given Input Data is 981, 994, 14, 289

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

Prime Factorization of 981 is 3 x 3 x 109

Prime Factorization of 994 is 2 x 7 x 71

Prime Factorization of 14 is 2 x 7

Prime Factorization of 289 is 17 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(981, 994) = 975114

GCD(981, 994) = ( 981 x 994 ) / 975114

GCD(981, 994) = 975114 / 975114

GCD(981, 994) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 289

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

LCM(1, 289) = 289

GCD(1, 289) = ( 1 x 289 ) / 289

GCD(1, 289) = 289 / 289

GCD(1, 289) = 1

GCD of 981, 994, 14, 289 is 1

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• GCD of 710, 353, 89, 234
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1. What is the GCD of 981, 994, 14, 289?

GCD of 981, 994, 14, 289 is 1

2. Where do I get the detailed procedure to find GCD of 981, 994, 14, 289?

You can find a detailed procedure to find GCD of 981, 994, 14, 289 on our page.

3. How to find GCD of 981, 994, 14, 289 on a calculator?

You can find the GCD of 981, 994, 14, 289 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.