GCD of 104, 836, 42, 864 Calculator

Given Input numbers are 104, 836, 42, 864

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

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 836

List of positive integer divisors of 836 that divides 836 without a remainder.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

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

Greatest Common Divisior

We found the divisors of 104, 836, 42, 864 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 104, 836, 42, 864 is 2.

Therefore, GCD of numbers 104, 836, 42, 864 is 2

Given Input Data is 104, 836, 42, 864

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

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

Prime Factorization of 836 is 2 x 2 x 11 x 19

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 864 is 2 x 2 x 2 x 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(104, 836) = 21736

GCD(104, 836) = ( 104 x 836 ) / 21736

GCD(104, 836) = 86944 / 21736

GCD(104, 836) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 42

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

LCM(4, 42) = 84

GCD(4, 42) = ( 4 x 42 ) / 84

GCD(4, 42) = 168 / 84

GCD(4, 42) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 864

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

LCM(2, 864) = 864

GCD(2, 864) = ( 2 x 864 ) / 864

GCD(2, 864) = 1728 / 864

GCD(2, 864) = 2

GCD of 104, 836, 42, 864 is 2

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1. What is the GCD of 104, 836, 42, 864?

GCD of 104, 836, 42, 864 is 2

2. Where do I get the detailed procedure to find GCD of 104, 836, 42, 864?

You can find a detailed procedure to find GCD of 104, 836, 42, 864 on our page.

3. How to find GCD of 104, 836, 42, 864 on a calculator?

You can find the GCD of 104, 836, 42, 864 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.