GCD of 74, 8, 68, 38 Calculator

Given Input numbers are 74, 8, 68, 38

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

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 8

List of positive integer divisors of 8 that divides 8 without a remainder.

1, 2, 4, 8

Divisors of 68

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

1, 2, 4, 17, 34, 68

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Greatest Common Divisior

We found the divisors of 74, 8, 68, 38 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 74, 8, 68, 38 is 2.

Therefore, GCD of numbers 74, 8, 68, 38 is 2

Given Input Data is 74, 8, 68, 38

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

Prime Factorization of 74 is 2 x 37

Prime Factorization of 8 is 2 x 2 x 2

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 38 is 2 x 19

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(74, 8) = 296

GCD(74, 8) = ( 74 x 8 ) / 296

GCD(74, 8) = 592 / 296

GCD(74, 8) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 68

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

LCM(2, 68) = 68

GCD(2, 68) = ( 2 x 68 ) / 68

GCD(2, 68) = 136 / 68

GCD(2, 68) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 38

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

LCM(2, 38) = 38

GCD(2, 38) = ( 2 x 38 ) / 38

GCD(2, 38) = 76 / 38

GCD(2, 38) = 2

GCD of 74, 8, 68, 38 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 22, 7, 61, 11
• GCD of 77, 2, 32, 74
• GCD of 50, 4, 61, 21
• GCD of 76, 7, 74, 89
• GCD of 75, 8, 56, 71

1. What is the GCD of 74, 8, 68, 38?

GCD of 74, 8, 68, 38 is 2

2. Where do I get the detailed procedure to find GCD of 74, 8, 68, 38?

You can find a detailed procedure to find GCD of 74, 8, 68, 38 on our page.

3. How to find GCD of 74, 8, 68, 38 on a calculator?

You can find the GCD of 74, 8, 68, 38 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.