GCD of 38, 12, 66, 46 Calculator

Given Input numbers are 38, 12, 66, 46

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

Divisors of 38

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

1, 2, 19, 38

Divisors of 12

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

1, 2, 3, 4, 6, 12

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Greatest Common Divisior

We found the divisors of 38, 12, 66, 46 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 38, 12, 66, 46 is 2.

Therefore, GCD of numbers 38, 12, 66, 46 is 2

Given Input Data is 38, 12, 66, 46

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

Prime Factorization of 38 is 2 x 19

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 46 is 2 x 23

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(38, 12) = 228

GCD(38, 12) = ( 38 x 12 ) / 228

GCD(38, 12) = 456 / 228

GCD(38, 12) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 66

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

LCM(2, 66) = 66

GCD(2, 66) = ( 2 x 66 ) / 66

GCD(2, 66) = 132 / 66

GCD(2, 66) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 46

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

LCM(2, 46) = 46

GCD(2, 46) = ( 2 x 46 ) / 46

GCD(2, 46) = 92 / 46

GCD(2, 46) = 2

GCD of 38, 12, 66, 46 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 72, 23, 81, 61
• GCD of 38, 51, 76, 73
• GCD of 76, 60, 88, 78
• GCD of 30, 64, 48, 28
• GCD of 19, 17, 81, 91

1. What is the GCD of 38, 12, 66, 46?

GCD of 38, 12, 66, 46 is 2

2. Where do I get the detailed procedure to find GCD of 38, 12, 66, 46?

You can find a detailed procedure to find GCD of 38, 12, 66, 46 on our page.

3. How to find GCD of 38, 12, 66, 46 on a calculator?

You can find the GCD of 38, 12, 66, 46 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.