GCD of 806, 184, 71, 982 Calculator

Given Input numbers are 806, 184, 71, 982

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

Divisors of 806

List of positive integer divisors of 806 that divides 806 without a remainder.

1, 2, 13, 26, 31, 62, 403, 806

Divisors of 184

List of positive integer divisors of 184 that divides 184 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Greatest Common Divisior

We found the divisors of 806, 184, 71, 982 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 806, 184, 71, 982 is 1.

Therefore, GCD of numbers 806, 184, 71, 982 is 1

Given Input Data is 806, 184, 71, 982

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

Prime Factorization of 806 is 2 x 13 x 31

Prime Factorization of 184 is 2 x 2 x 2 x 23

Prime Factorization of 71 is 71

Prime Factorization of 982 is 2 x 491

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(806, 184) = 74152

GCD(806, 184) = ( 806 x 184 ) / 74152

GCD(806, 184) = 148304 / 74152

GCD(806, 184) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 71

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

LCM(2, 71) = 142

GCD(2, 71) = ( 2 x 71 ) / 142

GCD(2, 71) = 142 / 142

GCD(2, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 982

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

LCM(1, 982) = 982

GCD(1, 982) = ( 1 x 982 ) / 982

GCD(1, 982) = 982 / 982

GCD(1, 982) = 1

GCD of 806, 184, 71, 982 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 132, 605, 40, 181
• GCD of 968, 838, 21, 897
• GCD of 443, 222, 56, 463
• GCD of 105, 632, 18, 913
• GCD of 148, 984, 29, 143

1. What is the GCD of 806, 184, 71, 982?

GCD of 806, 184, 71, 982 is 1

2. Where do I get the detailed procedure to find GCD of 806, 184, 71, 982?

You can find a detailed procedure to find GCD of 806, 184, 71, 982 on our page.

3. How to find GCD of 806, 184, 71, 982 on a calculator?

You can find the GCD of 806, 184, 71, 982 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.