GCD of 78, 14, 18, 96 Calculator

Given Input numbers are 78, 14, 18, 96

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

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 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Greatest Common Divisior

We found the divisors of 78, 14, 18, 96 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 78, 14, 18, 96 is 2.

Therefore, GCD of numbers 78, 14, 18, 96 is 2

Given Input Data is 78, 14, 18, 96

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

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 14 is 2 x 7

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 96 is 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(78, 14) = 546

GCD(78, 14) = ( 78 x 14 ) / 546

GCD(78, 14) = 1092 / 546

GCD(78, 14) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 18

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

LCM(2, 18) = 18

GCD(2, 18) = ( 2 x 18 ) / 18

GCD(2, 18) = 36 / 18

GCD(2, 18) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 96

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

LCM(2, 96) = 96

GCD(2, 96) = ( 2 x 96 ) / 96

GCD(2, 96) = 192 / 96

GCD(2, 96) = 2

GCD of 78, 14, 18, 96 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 85, 74, 46, 56
• GCD of 96, 75, 74, 49
• GCD of 68, 82, 47, 58
• GCD of 54, 29, 18, 80
• GCD of 82, 65, 57, 85

1. What is the GCD of 78, 14, 18, 96?

GCD of 78, 14, 18, 96 is 2

2. Where do I get the detailed procedure to find GCD of 78, 14, 18, 96?

You can find a detailed procedure to find GCD of 78, 14, 18, 96 on our page.

3. How to find GCD of 78, 14, 18, 96 on a calculator?

You can find the GCD of 78, 14, 18, 96 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.