GCD of 986, 864, 844, 916 Calculator

Given Input numbers are 986, 864, 844, 916

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 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 844

List of positive integer divisors of 844 that divides 844 without a remainder.

1, 2, 4, 211, 422, 844

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Greatest Common Divisior

We found the divisors of 986, 864, 844, 916 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 986, 864, 844, 916 is 2.

Therefore, GCD of numbers 986, 864, 844, 916 is 2

Given Input Data is 986, 864, 844, 916

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 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 844 is 2 x 2 x 211

Prime Factorization of 916 is 2 x 2 x 229

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, 864) = 425952

GCD(986, 864) = ( 986 x 864 ) / 425952

GCD(986, 864) = 851904 / 425952

GCD(986, 864) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 844

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

LCM(2, 844) = 844

GCD(2, 844) = ( 2 x 844 ) / 844

GCD(2, 844) = 1688 / 844

GCD(2, 844) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 916

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

LCM(2, 916) = 916

GCD(2, 916) = ( 2 x 916 ) / 916

GCD(2, 916) = 1832 / 916

GCD(2, 916) = 2

GCD of 986, 864, 844, 916 is 2

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1. What is the GCD of 986, 864, 844, 916?

GCD of 986, 864, 844, 916 is 2

2. Where do I get the detailed procedure to find GCD of 986, 864, 844, 916?

You can find a detailed procedure to find GCD of 986, 864, 844, 916 on our page.

3. How to find GCD of 986, 864, 844, 916 on a calculator?

You can find the GCD of 986, 864, 844, 916 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.