GCD of 270, 947, 249, 205 Calculator

Given Input numbers are 270, 947, 249, 205

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

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 947

List of positive integer divisors of 947 that divides 947 without a remainder.

1, 947

Divisors of 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Greatest Common Divisior

We found the divisors of 270, 947, 249, 205 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 270, 947, 249, 205 is 1.

Therefore, GCD of numbers 270, 947, 249, 205 is 1

Given Input Data is 270, 947, 249, 205

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

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 947 is 947

Prime Factorization of 249 is 3 x 83

Prime Factorization of 205 is 5 x 41

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(270, 947) = 255690

GCD(270, 947) = ( 270 x 947 ) / 255690

GCD(270, 947) = 255690 / 255690

GCD(270, 947) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 249

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

LCM(1, 249) = 249

GCD(1, 249) = ( 1 x 249 ) / 249

GCD(1, 249) = 249 / 249

GCD(1, 249) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 205

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

LCM(1, 205) = 205

GCD(1, 205) = ( 1 x 205 ) / 205

GCD(1, 205) = 205 / 205

GCD(1, 205) = 1

GCD of 270, 947, 249, 205 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 689, 848, 241, 477
• GCD of 645, 376, 819, 708
• GCD of 845, 614, 162, 293
• GCD of 132, 862, 397, 495
• GCD of 409, 191, 885, 723

1. What is the GCD of 270, 947, 249, 205?

GCD of 270, 947, 249, 205 is 1

2. Where do I get the detailed procedure to find GCD of 270, 947, 249, 205?

You can find a detailed procedure to find GCD of 270, 947, 249, 205 on our page.

3. How to find GCD of 270, 947, 249, 205 on a calculator?

You can find the GCD of 270, 947, 249, 205 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.