GCD of 986, 322, 28, 986 Calculator

Given Input numbers are 986, 322, 28, 986

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 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 986

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

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

Greatest Common Divisior

We found the divisors of 986, 322, 28, 986 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 986, 322, 28, 986 is 2.

Therefore, GCD of numbers 986, 322, 28, 986 is 2

Given Input Data is 986, 322, 28, 986

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 322 is 2 x 7 x 23

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 986 is 2 x 17 x 29

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, 322) = 158746

GCD(986, 322) = ( 986 x 322 ) / 158746

GCD(986, 322) = 317492 / 158746

GCD(986, 322) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 28

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

LCM(2, 28) = 28

GCD(2, 28) = ( 2 x 28 ) / 28

GCD(2, 28) = 56 / 28

GCD(2, 28) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 986

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

LCM(2, 986) = 986

GCD(2, 986) = ( 2 x 986 ) / 986

GCD(2, 986) = 1972 / 986

GCD(2, 986) = 2

GCD of 986, 322, 28, 986 is 2

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1. What is the GCD of 986, 322, 28, 986?

GCD of 986, 322, 28, 986 is 2

2. Where do I get the detailed procedure to find GCD of 986, 322, 28, 986?

You can find a detailed procedure to find GCD of 986, 322, 28, 986 on our page.

3. How to find GCD of 986, 322, 28, 986 on a calculator?

You can find the GCD of 986, 322, 28, 986 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.