GCD of 223, 407, 14 Calculator

Given Input numbers are 223, 407, 14

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

Divisors of 223

List of positive integer divisors of 223 that divides 223 without a remainder.

1, 223

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Greatest Common Divisior

We found the divisors of 223, 407, 14 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 223, 407, 14 is 1.

Therefore, GCD of numbers 223, 407, 14 is 1

Given Input Data is 223, 407, 14

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

Prime Factorization of 223 is 223

Prime Factorization of 407 is 11 x 37

Prime Factorization of 14 is 2 x 7

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(223, 407) = 90761

GCD(223, 407) = ( 223 x 407 ) / 90761

GCD(223, 407) = 90761 / 90761

GCD(223, 407) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1

GCD of 223, 407, 14 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 413, 697, 81
• GCD of 937, 575, 99
• GCD of 758, 229, 97
• GCD of 737, 735, 53
• GCD of 782, 161, 44

1. What is the GCD of 223, 407, 14?

GCD of 223, 407, 14 is 1

2. Where do I get the detailed procedure to find GCD of 223, 407, 14?

You can find a detailed procedure to find GCD of 223, 407, 14 on our page.

3. How to find GCD of 223, 407, 14 on a calculator?

You can find the GCD of 223, 407, 14 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.