GCD of 289, 981, 38, 785 Calculator

Given Input numbers are 289, 981, 38, 785

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

Divisors of 289

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

1, 17, 289

Divisors of 981

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

1, 3, 9, 109, 327, 981

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 785

List of positive integer divisors of 785 that divides 785 without a remainder.

1, 5, 157, 785

Greatest Common Divisior

We found the divisors of 289, 981, 38, 785 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 289, 981, 38, 785 is 1.

Therefore, GCD of numbers 289, 981, 38, 785 is 1

Given Input Data is 289, 981, 38, 785

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

Prime Factorization of 289 is 17 x 17

Prime Factorization of 981 is 3 x 3 x 109

Prime Factorization of 38 is 2 x 19

Prime Factorization of 785 is 5 x 157

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(289, 981) = 283509

GCD(289, 981) = ( 289 x 981 ) / 283509

GCD(289, 981) = 283509 / 283509

GCD(289, 981) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 38

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

LCM(1, 38) = 38

GCD(1, 38) = ( 1 x 38 ) / 38

GCD(1, 38) = 38 / 38

GCD(1, 38) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 785

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

LCM(1, 785) = 785

GCD(1, 785) = ( 1 x 785 ) / 785

GCD(1, 785) = 785 / 785

GCD(1, 785) = 1

GCD of 289, 981, 38, 785 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 710, 275, 17, 545
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• GCD of 409, 107, 25, 294
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1. What is the GCD of 289, 981, 38, 785?

GCD of 289, 981, 38, 785 is 1

2. Where do I get the detailed procedure to find GCD of 289, 981, 38, 785?

You can find a detailed procedure to find GCD of 289, 981, 38, 785 on our page.

3. How to find GCD of 289, 981, 38, 785 on a calculator?

You can find the GCD of 289, 981, 38, 785 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.