GCD of 986, 814, 166 Calculator

Given Input numbers are 986, 814, 166

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

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 166

List of positive integer divisors of 166 that divides 166 without a remainder.

1, 2, 83, 166

Greatest Common Divisior

We found the divisors of 986, 814, 166 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 986, 814, 166 is 2.

Therefore, GCD of numbers 986, 814, 166 is 2

Given Input Data is 986, 814, 166

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

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 166 is 2 x 83

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(986, 814) = 401302

GCD(986, 814) = ( 986 x 814 ) / 401302

GCD(986, 814) = 802604 / 401302

GCD(986, 814) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 166

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

LCM(2, 166) = 166

GCD(2, 166) = ( 2 x 166 ) / 166

GCD(2, 166) = 332 / 166

GCD(2, 166) = 2

GCD of 986, 814, 166 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 449, 684, 691
• GCD of 161, 538, 747
• GCD of 638, 112, 965
• GCD of 724, 728, 380
• GCD of 762, 773, 124

1. What is the GCD of 986, 814, 166?

GCD of 986, 814, 166 is 2

2. Where do I get the detailed procedure to find GCD of 986, 814, 166?

You can find a detailed procedure to find GCD of 986, 814, 166 on our page.

3. How to find GCD of 986, 814, 166 on a calculator?

You can find the GCD of 986, 814, 166 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.