GCD of 42, 12, 68, 78 Calculator

Given Input numbers are 42, 12, 68, 78

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

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 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 78

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

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

Greatest Common Divisior

We found the divisors of 42, 12, 68, 78 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 12, 68, 78 is 2.

Therefore, GCD of numbers 42, 12, 68, 78 is 2

Given Input Data is 42, 12, 68, 78

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

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 78 is 2 x 3 x 13

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(42, 12) = 84

GCD(42, 12) = ( 42 x 12 ) / 84

GCD(42, 12) = 504 / 84

GCD(42, 12) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 68

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

LCM(6, 68) = 204

GCD(6, 68) = ( 6 x 68 ) / 204

GCD(6, 68) = 408 / 204

GCD(6, 68) = 2

Step3:

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

GCD of 42, 12, 68, 78 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 76, 84, 99, 85
• GCD of 66, 71, 49, 84
• GCD of 88, 45, 67, 90
• GCD of 39, 37, 65, 38
• GCD of 55, 20, 44, 47

1. What is the GCD of 42, 12, 68, 78?

GCD of 42, 12, 68, 78 is 2

2. Where do I get the detailed procedure to find GCD of 42, 12, 68, 78?

You can find a detailed procedure to find GCD of 42, 12, 68, 78 on our page.

3. How to find GCD of 42, 12, 68, 78 on a calculator?

You can find the GCD of 42, 12, 68, 78 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.