GCD of 986, 884, 166, 879 Calculator

Given Input numbers are 986, 884, 166, 879

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 884

List of positive integer divisors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Divisors of 166

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

1, 2, 83, 166

Divisors of 879

List of positive integer divisors of 879 that divides 879 without a remainder.

1, 3, 293, 879

Greatest Common Divisior

We found the divisors of 986, 884, 166, 879 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 986, 884, 166, 879 is 1.

Therefore, GCD of numbers 986, 884, 166, 879 is 1

Given Input Data is 986, 884, 166, 879

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 884 is 2 x 2 x 13 x 17

Prime Factorization of 166 is 2 x 83

Prime Factorization of 879 is 3 x 293

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(986, 884) = 25636

GCD(986, 884) = ( 986 x 884 ) / 25636

GCD(986, 884) = 871624 / 25636

GCD(986, 884) = 34

Step2:

Here we consider the GCD from the above i.e. 34 as first number and the next as 166

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

LCM(34, 166) = 2822

GCD(34, 166) = ( 34 x 166 ) / 2822

GCD(34, 166) = 5644 / 2822

GCD(34, 166) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 879

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

LCM(2, 879) = 1758

GCD(2, 879) = ( 2 x 879 ) / 1758

GCD(2, 879) = 1758 / 1758

GCD(2, 879) = 1

GCD of 986, 884, 166, 879 is 1

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1. What is the GCD of 986, 884, 166, 879?

GCD of 986, 884, 166, 879 is 1

2. Where do I get the detailed procedure to find GCD of 986, 884, 166, 879?

You can find a detailed procedure to find GCD of 986, 884, 166, 879 on our page.

3. How to find GCD of 986, 884, 166, 879 on a calculator?

You can find the GCD of 986, 884, 166, 879 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.