GCD of 199, 614, 12, 529 Calculator

Given Input numbers are 199, 614, 12, 529

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

Divisors of 199

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

1, 199

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 529

List of positive integer divisors of 529 that divides 529 without a remainder.

1, 23, 529

Greatest Common Divisior

We found the divisors of 199, 614, 12, 529 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 199, 614, 12, 529 is 1.

Therefore, GCD of numbers 199, 614, 12, 529 is 1

Given Input Data is 199, 614, 12, 529

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

Prime Factorization of 199 is 199

Prime Factorization of 614 is 2 x 307

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 529 is 23 x 23

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(199, 614) = 122186

GCD(199, 614) = ( 199 x 614 ) / 122186

GCD(199, 614) = 122186 / 122186

GCD(199, 614) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 12

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

LCM(1, 12) = 12

GCD(1, 12) = ( 1 x 12 ) / 12

GCD(1, 12) = 12 / 12

GCD(1, 12) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 529

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

LCM(1, 529) = 529

GCD(1, 529) = ( 1 x 529 ) / 529

GCD(1, 529) = 529 / 529

GCD(1, 529) = 1

GCD of 199, 614, 12, 529 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 173, 621, 94, 111
• GCD of 835, 244, 22, 856
• GCD of 564, 587, 56, 485
• GCD of 113, 154, 97, 161
• GCD of 180, 408, 26, 718

1. What is the GCD of 199, 614, 12, 529?

GCD of 199, 614, 12, 529 is 1

2. Where do I get the detailed procedure to find GCD of 199, 614, 12, 529?

You can find a detailed procedure to find GCD of 199, 614, 12, 529 on our page.

3. How to find GCD of 199, 614, 12, 529 on a calculator?

You can find the GCD of 199, 614, 12, 529 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.