GCD of 38, 57, 21, 10 Calculator

Given Input numbers are 38, 57, 21, 10

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 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Greatest Common Divisior

We found the divisors of 38, 57, 21, 10 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 38, 57, 21, 10 is 1.

Therefore, GCD of numbers 38, 57, 21, 10 is 1

Given Input Data is 38, 57, 21, 10

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

Prime Factorization of 38 is 2 x 19

Prime Factorization of 57 is 3 x 19

Prime Factorization of 21 is 3 x 7

Prime Factorization of 10 is 2 x 5

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, 57) = 114

GCD(38, 57) = ( 38 x 57 ) / 114

GCD(38, 57) = 2166 / 114

GCD(38, 57) = 19

Step2:

Here we consider the GCD from the above i.e. 19 as first number and the next as 21

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

LCM(19, 21) = 399

GCD(19, 21) = ( 19 x 21 ) / 399

GCD(19, 21) = 399 / 399

GCD(19, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 10

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

LCM(1, 10) = 10

GCD(1, 10) = ( 1 x 10 ) / 10

GCD(1, 10) = 10 / 10

GCD(1, 10) = 1

GCD of 38, 57, 21, 10 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 96, 88, 67, 73
• GCD of 12, 51, 21, 44
• GCD of 96, 74, 71, 94
• GCD of 67, 29, 18, 26
• GCD of 67, 27, 29, 50

1. What is the GCD of 38, 57, 21, 10?

GCD of 38, 57, 21, 10 is 1

2. Where do I get the detailed procedure to find GCD of 38, 57, 21, 10?

You can find a detailed procedure to find GCD of 38, 57, 21, 10 on our page.

3. How to find GCD of 38, 57, 21, 10 on a calculator?

You can find the GCD of 38, 57, 21, 10 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.