GCD of 286, 309, 195, 225 Calculator

Given Input numbers are 286, 309, 195, 225

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

Divisors of 286

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

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

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 195

List of positive integer divisors of 195 that divides 195 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Greatest Common Divisior

We found the divisors of 286, 309, 195, 225 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 286, 309, 195, 225 is 1.

Therefore, GCD of numbers 286, 309, 195, 225 is 1

Given Input Data is 286, 309, 195, 225

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

Prime Factorization of 286 is 2 x 11 x 13

Prime Factorization of 309 is 3 x 103

Prime Factorization of 195 is 3 x 5 x 13

Prime Factorization of 225 is 3 x 3 x 5 x 5

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(286, 309) = 88374

GCD(286, 309) = ( 286 x 309 ) / 88374

GCD(286, 309) = 88374 / 88374

GCD(286, 309) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 195

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

LCM(1, 195) = 195

GCD(1, 195) = ( 1 x 195 ) / 195

GCD(1, 195) = 195 / 195

GCD(1, 195) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 225

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

LCM(1, 225) = 225

GCD(1, 225) = ( 1 x 225 ) / 225

GCD(1, 225) = 225 / 225

GCD(1, 225) = 1

GCD of 286, 309, 195, 225 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 519, 928, 934, 286
• GCD of 702, 387, 243, 935
• GCD of 344, 591, 274, 837
• GCD of 304, 304, 185, 868
• GCD of 114, 526, 570, 128

1. What is the GCD of 286, 309, 195, 225?

GCD of 286, 309, 195, 225 is 1

2. Where do I get the detailed procedure to find GCD of 286, 309, 195, 225?

You can find a detailed procedure to find GCD of 286, 309, 195, 225 on our page.

3. How to find GCD of 286, 309, 195, 225 on a calculator?

You can find the GCD of 286, 309, 195, 225 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.