GCD of 58, 52, 21, 38 Calculator

Given Input numbers are 58, 52, 21, 38

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

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 21

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

1, 3, 7, 21

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 58, 52, 21, 38 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 52, 21, 38 is 1.

Therefore, GCD of numbers 58, 52, 21, 38 is 1

Given Input Data is 58, 52, 21, 38

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

Prime Factorization of 58 is 2 x 29

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 21 is 3 x 7

Prime Factorization of 38 is 2 x 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(58, 52) = 1508

GCD(58, 52) = ( 58 x 52 ) / 1508

GCD(58, 52) = 3016 / 1508

GCD(58, 52) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 21

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

LCM(2, 21) = 42

GCD(2, 21) = ( 2 x 21 ) / 42

GCD(2, 21) = 42 / 42

GCD(2, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 38

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

LCM(1, 38) = 38

GCD(1, 38) = ( 1 x 38 ) / 38

GCD(1, 38) = 38 / 38

GCD(1, 38) = 1

GCD of 58, 52, 21, 38 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 55, 37, 87, 33
• GCD of 16, 86, 42, 30
• GCD of 54, 88, 62, 30
• GCD of 92, 72, 98, 96
• GCD of 25, 72, 55, 18

1. What is the GCD of 58, 52, 21, 38?

GCD of 58, 52, 21, 38 is 1

2. Where do I get the detailed procedure to find GCD of 58, 52, 21, 38?

You can find a detailed procedure to find GCD of 58, 52, 21, 38 on our page.

3. How to find GCD of 58, 52, 21, 38 on a calculator?

You can find the GCD of 58, 52, 21, 38 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.