GCD of 14, 181, 682, 706 Calculator

Given Input numbers are 14, 181, 682, 706

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

Divisors of 14

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

1, 2, 7, 14

Divisors of 181

List of positive integer divisors of 181 that divides 181 without a remainder.

1, 181

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Greatest Common Divisior

We found the divisors of 14, 181, 682, 706 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 14, 181, 682, 706 is 1.

Therefore, GCD of numbers 14, 181, 682, 706 is 1

Given Input Data is 14, 181, 682, 706

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

Prime Factorization of 14 is 2 x 7

Prime Factorization of 181 is 181

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 706 is 2 x 353

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(14, 181) = 2534

GCD(14, 181) = ( 14 x 181 ) / 2534

GCD(14, 181) = 2534 / 2534

GCD(14, 181) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 682

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

LCM(1, 682) = 682

GCD(1, 682) = ( 1 x 682 ) / 682

GCD(1, 682) = 682 / 682

GCD(1, 682) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 706

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

LCM(1, 706) = 706

GCD(1, 706) = ( 1 x 706 ) / 706

GCD(1, 706) = 706 / 706

GCD(1, 706) = 1

GCD of 14, 181, 682, 706 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 12, 152, 264, 847
• GCD of 43, 570, 724, 360
• GCD of 38, 480, 727, 799
• GCD of 15, 845, 797, 343
• GCD of 26, 613, 809, 907

1. What is the GCD of 14, 181, 682, 706?

GCD of 14, 181, 682, 706 is 1

2. Where do I get the detailed procedure to find GCD of 14, 181, 682, 706?

You can find a detailed procedure to find GCD of 14, 181, 682, 706 on our page.

3. How to find GCD of 14, 181, 682, 706 on a calculator?

You can find the GCD of 14, 181, 682, 706 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.