GCD of 816, 986, 104, 748 Calculator

Given Input numbers are 816, 986, 104, 748

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

Divisors of 816

List of positive integer divisors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

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 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Greatest Common Divisior

We found the divisors of 816, 986, 104, 748 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 816, 986, 104, 748 is 2.

Therefore, GCD of numbers 816, 986, 104, 748 is 2

Given Input Data is 816, 986, 104, 748

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

Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 104 is 2 x 2 x 2 x 13

Prime Factorization of 748 is 2 x 2 x 11 x 17

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(816, 986) = 23664

GCD(816, 986) = ( 816 x 986 ) / 23664

GCD(816, 986) = 804576 / 23664

GCD(816, 986) = 34

Step2:

Here we consider the GCD from the above i.e. 34 as first number and the next as 104

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

LCM(34, 104) = 1768

GCD(34, 104) = ( 34 x 104 ) / 1768

GCD(34, 104) = 3536 / 1768

GCD(34, 104) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 748

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

LCM(2, 748) = 748

GCD(2, 748) = ( 2 x 748 ) / 748

GCD(2, 748) = 1496 / 748

GCD(2, 748) = 2

GCD of 816, 986, 104, 748 is 2

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1. What is the GCD of 816, 986, 104, 748?

GCD of 816, 986, 104, 748 is 2

2. Where do I get the detailed procedure to find GCD of 816, 986, 104, 748?

You can find a detailed procedure to find GCD of 816, 986, 104, 748 on our page.

3. How to find GCD of 816, 986, 104, 748 on a calculator?

You can find the GCD of 816, 986, 104, 748 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.