GCD of 108, 910, 78, 384 Calculator

Given Input numbers are 108, 910, 78, 384

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

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

Divisors of 910

List of positive integer divisors of 910 that divides 910 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Greatest Common Divisior

We found the divisors of 108, 910, 78, 384 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 108, 910, 78, 384 is 2.

Therefore, GCD of numbers 108, 910, 78, 384 is 2

Given Input Data is 108, 910, 78, 384

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

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

Prime Factorization of 910 is 2 x 5 x 7 x 13

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 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(108, 910) = 49140

GCD(108, 910) = ( 108 x 910 ) / 49140

GCD(108, 910) = 98280 / 49140

GCD(108, 910) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 78

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

LCM(2, 78) = 78

GCD(2, 78) = ( 2 x 78 ) / 78

GCD(2, 78) = 156 / 78

GCD(2, 78) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 384

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

LCM(2, 384) = 384

GCD(2, 384) = ( 2 x 384 ) / 384

GCD(2, 384) = 768 / 384

GCD(2, 384) = 2

GCD of 108, 910, 78, 384 is 2

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1. What is the GCD of 108, 910, 78, 384?

GCD of 108, 910, 78, 384 is 2

2. Where do I get the detailed procedure to find GCD of 108, 910, 78, 384?

You can find a detailed procedure to find GCD of 108, 910, 78, 384 on our page.

3. How to find GCD of 108, 910, 78, 384 on a calculator?

You can find the GCD of 108, 910, 78, 384 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.