GCD of 986, 509, 794, 230 Calculator

Given Input numbers are 986, 509, 794, 230

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

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Divisors of 794

List of positive integer divisors of 794 that divides 794 without a remainder.

1, 2, 397, 794

Divisors of 230

List of positive integer divisors of 230 that divides 230 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230

Greatest Common Divisior

We found the divisors of 986, 509, 794, 230 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 986, 509, 794, 230 is 1.

Therefore, GCD of numbers 986, 509, 794, 230 is 1

Given Input Data is 986, 509, 794, 230

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

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 509 is 509

Prime Factorization of 794 is 2 x 397

Prime Factorization of 230 is 2 x 5 x 23

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(986, 509) = 501874

GCD(986, 509) = ( 986 x 509 ) / 501874

GCD(986, 509) = 501874 / 501874

GCD(986, 509) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 794

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

LCM(1, 794) = 794

GCD(1, 794) = ( 1 x 794 ) / 794

GCD(1, 794) = 794 / 794

GCD(1, 794) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 230

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

LCM(1, 230) = 230

GCD(1, 230) = ( 1 x 230 ) / 230

GCD(1, 230) = 230 / 230

GCD(1, 230) = 1

GCD of 986, 509, 794, 230 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 114, 370, 298, 146
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• GCD of 673, 690, 865, 959

1. What is the GCD of 986, 509, 794, 230?

GCD of 986, 509, 794, 230 is 1

2. Where do I get the detailed procedure to find GCD of 986, 509, 794, 230?

You can find a detailed procedure to find GCD of 986, 509, 794, 230 on our page.

3. How to find GCD of 986, 509, 794, 230 on a calculator?

You can find the GCD of 986, 509, 794, 230 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.