GCD of 38, 20, 51 Calculator

Given Input numbers are 38, 20, 51

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 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Greatest Common Divisior

We found the divisors of 38, 20, 51 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 38, 20, 51 is 1.

Therefore, GCD of numbers 38, 20, 51 is 1

Given Input Data is 38, 20, 51

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

Prime Factorization of 38 is 2 x 19

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 51 is 3 x 17

The above numbers do not have any common prime factor. So GCD is 1

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, 20) = 380

GCD(38, 20) = ( 38 x 20 ) / 380

GCD(38, 20) = 760 / 380

GCD(38, 20) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 51

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

LCM(2, 51) = 102

GCD(2, 51) = ( 2 x 51 ) / 102

GCD(2, 51) = 102 / 102

GCD(2, 51) = 1

GCD of 38, 20, 51 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 28, 74, 35
• GCD of 90, 71, 46
• GCD of 48, 56, 61
• GCD of 56, 95, 55
• GCD of 18, 67, 77

1. What is the GCD of 38, 20, 51?

GCD of 38, 20, 51 is 1

2. Where do I get the detailed procedure to find GCD of 38, 20, 51?

You can find a detailed procedure to find GCD of 38, 20, 51 on our page.

3. How to find GCD of 38, 20, 51 on a calculator?

You can find the GCD of 38, 20, 51 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.