GCD of 66, 609, 112, 231 Calculator

Given Input numbers are 66, 609, 112, 231

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

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 609

List of positive integer divisors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Greatest Common Divisior

We found the divisors of 66, 609, 112, 231 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 66, 609, 112, 231 is 1.

Therefore, GCD of numbers 66, 609, 112, 231 is 1

Given Input Data is 66, 609, 112, 231

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

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 609 is 3 x 7 x 29

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

Prime Factorization of 231 is 3 x 7 x 11

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(66, 609) = 13398

GCD(66, 609) = ( 66 x 609 ) / 13398

GCD(66, 609) = 40194 / 13398

GCD(66, 609) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 112

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

LCM(3, 112) = 336

GCD(3, 112) = ( 3 x 112 ) / 336

GCD(3, 112) = 336 / 336

GCD(3, 112) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 231

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

LCM(1, 231) = 231

GCD(1, 231) = ( 1 x 231 ) / 231

GCD(1, 231) = 231 / 231

GCD(1, 231) = 1

GCD of 66, 609, 112, 231 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 27, 606, 925, 819
• GCD of 89, 452, 466, 336
• GCD of 69, 725, 345, 794
• GCD of 22, 712, 671, 233
• GCD of 34, 218, 148, 404

1. What is the GCD of 66, 609, 112, 231?

GCD of 66, 609, 112, 231 is 1

2. Where do I get the detailed procedure to find GCD of 66, 609, 112, 231?

You can find a detailed procedure to find GCD of 66, 609, 112, 231 on our page.

3. How to find GCD of 66, 609, 112, 231 on a calculator?

You can find the GCD of 66, 609, 112, 231 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.