GCD of 109, 389, 243, 286 Calculator

Given Input numbers are 109, 389, 243, 286

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

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 389

List of positive integer divisors of 389 that divides 389 without a remainder.

1, 389

Divisors of 243

List of positive integer divisors of 243 that divides 243 without a remainder.

1, 3, 9, 27, 81, 243

Divisors of 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

Greatest Common Divisior

We found the divisors of 109, 389, 243, 286 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 109, 389, 243, 286 is 1.

Therefore, GCD of numbers 109, 389, 243, 286 is 1

Given Input Data is 109, 389, 243, 286

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

Prime Factorization of 109 is 109

Prime Factorization of 389 is 389

Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3

Prime Factorization of 286 is 2 x 11 x 13

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(109, 389) = 42401

GCD(109, 389) = ( 109 x 389 ) / 42401

GCD(109, 389) = 42401 / 42401

GCD(109, 389) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 243

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

LCM(1, 243) = 243

GCD(1, 243) = ( 1 x 243 ) / 243

GCD(1, 243) = 243 / 243

GCD(1, 243) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 286

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

LCM(1, 286) = 286

GCD(1, 286) = ( 1 x 286 ) / 286

GCD(1, 286) = 286 / 286

GCD(1, 286) = 1

GCD of 109, 389, 243, 286 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 666, 174, 327, 174
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• GCD of 283, 227, 218, 190
• GCD of 469, 258, 703, 305
• GCD of 179, 334, 524, 299

1. What is the GCD of 109, 389, 243, 286?

GCD of 109, 389, 243, 286 is 1

2. Where do I get the detailed procedure to find GCD of 109, 389, 243, 286?

You can find a detailed procedure to find GCD of 109, 389, 243, 286 on our page.

3. How to find GCD of 109, 389, 243, 286 on a calculator?

You can find the GCD of 109, 389, 243, 286 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.