GCD of 50, 30, 66, 38 Calculator

Given Input numbers are 50, 30, 66, 38

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

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

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 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 50, 30, 66, 38 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 50, 30, 66, 38 is 2.

Therefore, GCD of numbers 50, 30, 66, 38 is 2

Given Input Data is 50, 30, 66, 38

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

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 66 is 2 x 3 x 11

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(50, 30) = 150

GCD(50, 30) = ( 50 x 30 ) / 150

GCD(50, 30) = 1500 / 150

GCD(50, 30) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 66

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

LCM(10, 66) = 330

GCD(10, 66) = ( 10 x 66 ) / 330

GCD(10, 66) = 660 / 330

GCD(10, 66) = 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 50, 30, 66, 38 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 73, 16, 23, 14
• GCD of 24, 20, 92, 95
• GCD of 45, 29, 31, 70
• GCD of 90, 70, 79, 70
• GCD of 99, 11, 47, 15

1. What is the GCD of 50, 30, 66, 38?

GCD of 50, 30, 66, 38 is 2

2. Where do I get the detailed procedure to find GCD of 50, 30, 66, 38?

You can find a detailed procedure to find GCD of 50, 30, 66, 38 on our page.

3. How to find GCD of 50, 30, 66, 38 on a calculator?

You can find the GCD of 50, 30, 66, 38 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.