GCD of 38, 7, 64, 19 Calculator

Given Input numbers are 38, 7, 64, 19

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 7

List of positive integer divisors of 7 that divides 7 without a remainder.

1, 7

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Greatest Common Divisior

We found the divisors of 38, 7, 64, 19 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 38, 7, 64, 19 is 1.

Therefore, GCD of numbers 38, 7, 64, 19 is 1

Given Input Data is 38, 7, 64, 19

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

Prime Factorization of 38 is 2 x 19

Prime Factorization of 7 is 7

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 19 is 19

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, 7) = 266

GCD(38, 7) = ( 38 x 7 ) / 266

GCD(38, 7) = 266 / 266

GCD(38, 7) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 64

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

LCM(1, 64) = 64

GCD(1, 64) = ( 1 x 64 ) / 64

GCD(1, 64) = 64 / 64

GCD(1, 64) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 19

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

LCM(1, 19) = 19

GCD(1, 19) = ( 1 x 19 ) / 19

GCD(1, 19) = 19 / 19

GCD(1, 19) = 1

GCD of 38, 7, 64, 19 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 62, 6, 19, 80
• GCD of 68, 5, 65, 46
• GCD of 99, 8, 98, 21
• GCD of 84, 6, 47, 14
• GCD of 21, 5, 69, 91

1. What is the GCD of 38, 7, 64, 19?

GCD of 38, 7, 64, 19 is 1

2. Where do I get the detailed procedure to find GCD of 38, 7, 64, 19?

You can find a detailed procedure to find GCD of 38, 7, 64, 19 on our page.

3. How to find GCD of 38, 7, 64, 19 on a calculator?

You can find the GCD of 38, 7, 64, 19 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.