GCD of 37, 84, 13, 19 Calculator

Given Input numbers are 37, 84, 13, 19

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 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

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 37, 84, 13, 19 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 37, 84, 13, 19 is 1.

Therefore, GCD of numbers 37, 84, 13, 19 is 1

Given Input Data is 37, 84, 13, 19

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

Prime Factorization of 37 is 37

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 13 is 13

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(37, 84) = 3108

GCD(37, 84) = ( 37 x 84 ) / 3108

GCD(37, 84) = 3108 / 3108

GCD(37, 84) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 13

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

LCM(1, 13) = 13

GCD(1, 13) = ( 1 x 13 ) / 13

GCD(1, 13) = 13 / 13

GCD(1, 13) = 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 37, 84, 13, 19 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 83, 96, 41, 83
• GCD of 17, 83, 57, 30
• GCD of 89, 10, 28, 87
• GCD of 95, 93, 53, 57
• GCD of 17, 43, 83, 40

1. What is the GCD of 37, 84, 13, 19?

GCD of 37, 84, 13, 19 is 1

2. Where do I get the detailed procedure to find GCD of 37, 84, 13, 19?

You can find a detailed procedure to find GCD of 37, 84, 13, 19 on our page.

3. How to find GCD of 37, 84, 13, 19 on a calculator?

You can find the GCD of 37, 84, 13, 19 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.