GCD of 912, 796, 986, 108 Calculator

Given Input numbers are 912, 796, 986, 108

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

Divisors of 912

List of positive integer divisors of 912 that divides 912 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

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 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Greatest Common Divisior

We found the divisors of 912, 796, 986, 108 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 912, 796, 986, 108 is 2.

Therefore, GCD of numbers 912, 796, 986, 108 is 2

Given Input Data is 912, 796, 986, 108

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

Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19

Prime Factorization of 796 is 2 x 2 x 199

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

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(912, 796) = 181488

GCD(912, 796) = ( 912 x 796 ) / 181488

GCD(912, 796) = 725952 / 181488

GCD(912, 796) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 986

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

LCM(4, 986) = 1972

GCD(4, 986) = ( 4 x 986 ) / 1972

GCD(4, 986) = 3944 / 1972

GCD(4, 986) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 108

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

LCM(2, 108) = 108

GCD(2, 108) = ( 2 x 108 ) / 108

GCD(2, 108) = 216 / 108

GCD(2, 108) = 2

GCD of 912, 796, 986, 108 is 2

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1. What is the GCD of 912, 796, 986, 108?

GCD of 912, 796, 986, 108 is 2

2. Where do I get the detailed procedure to find GCD of 912, 796, 986, 108?

You can find a detailed procedure to find GCD of 912, 796, 986, 108 on our page.

3. How to find GCD of 912, 796, 986, 108 on a calculator?

You can find the GCD of 912, 796, 986, 108 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.