GCD of 37, 9, 19, 58 Calculator

Given Input numbers are 37, 9, 19, 58

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

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 9

List of positive integer divisors of 9 that divides 9 without a remainder.

1, 3, 9

Divisors of 19

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

1, 19

Divisors of 58

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

1, 2, 29, 58

Greatest Common Divisior

We found the divisors of 37, 9, 19, 58 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 37, 9, 19, 58 is 1.

Therefore, GCD of numbers 37, 9, 19, 58 is 1

Given Input Data is 37, 9, 19, 58

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

Prime Factorization of 37 is 37

Prime Factorization of 9 is 3 x 3

Prime Factorization of 19 is 19

Prime Factorization of 58 is 2 x 29

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(37, 9) = 333

GCD(37, 9) = ( 37 x 9 ) / 333

GCD(37, 9) = 333 / 333

GCD(37, 9) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 58

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

LCM(1, 58) = 58

GCD(1, 58) = ( 1 x 58 ) / 58

GCD(1, 58) = 58 / 58

GCD(1, 58) = 1

GCD of 37, 9, 19, 58 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 49, 3, 40, 38
• GCD of 98, 9, 45, 76
• GCD of 55, 3, 13, 10
• GCD of 33, 4, 25, 45
• GCD of 14, 6, 67, 75

1. What is the GCD of 37, 9, 19, 58?

GCD of 37, 9, 19, 58 is 1

2. Where do I get the detailed procedure to find GCD of 37, 9, 19, 58?

You can find a detailed procedure to find GCD of 37, 9, 19, 58 on our page.

3. How to find GCD of 37, 9, 19, 58 on a calculator?

You can find the GCD of 37, 9, 19, 58 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.