GCD of 205, 656, 14, 199 Calculator

Given Input numbers are 205, 656, 14, 199

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

Divisors of 205

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

1, 5, 41, 205

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 14

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

1, 2, 7, 14

Divisors of 199

List of positive integer divisors of 199 that divides 199 without a remainder.

1, 199

Greatest Common Divisior

We found the divisors of 205, 656, 14, 199 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 205, 656, 14, 199 is 1.

Therefore, GCD of numbers 205, 656, 14, 199 is 1

Given Input Data is 205, 656, 14, 199

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

Prime Factorization of 205 is 5 x 41

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

Prime Factorization of 14 is 2 x 7

Prime Factorization of 199 is 199

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(205, 656) = 3280

GCD(205, 656) = ( 205 x 656 ) / 3280

GCD(205, 656) = 134480 / 3280

GCD(205, 656) = 41

Step2:

Here we consider the GCD from the above i.e. 41 as first number and the next as 14

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

LCM(41, 14) = 574

GCD(41, 14) = ( 41 x 14 ) / 574

GCD(41, 14) = 574 / 574

GCD(41, 14) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 199

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

LCM(1, 199) = 199

GCD(1, 199) = ( 1 x 199 ) / 199

GCD(1, 199) = 199 / 199

GCD(1, 199) = 1

GCD of 205, 656, 14, 199 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 264, 943, 93, 159
• GCD of 556, 548, 91, 602
• GCD of 797, 761, 92, 820
• GCD of 752, 160, 74, 307
• GCD of 756, 440, 85, 681

1. What is the GCD of 205, 656, 14, 199?

GCD of 205, 656, 14, 199 is 1

2. Where do I get the detailed procedure to find GCD of 205, 656, 14, 199?

You can find a detailed procedure to find GCD of 205, 656, 14, 199 on our page.

3. How to find GCD of 205, 656, 14, 199 on a calculator?

You can find the GCD of 205, 656, 14, 199 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.