GCD of 99, 54, 74, 19 Calculator

Given Input numbers are 99, 54, 74, 19

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

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

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 99, 54, 74, 19 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 99, 54, 74, 19 is 1.

Therefore, GCD of numbers 99, 54, 74, 19 is 1

Given Input Data is 99, 54, 74, 19

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

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 74 is 2 x 37

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(99, 54) = 594

GCD(99, 54) = ( 99 x 54 ) / 594

GCD(99, 54) = 5346 / 594

GCD(99, 54) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 74

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

LCM(9, 74) = 666

GCD(9, 74) = ( 9 x 74 ) / 666

GCD(9, 74) = 666 / 666

GCD(9, 74) = 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 99, 54, 74, 19 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 70, 65, 18, 19
• GCD of 74, 32, 46, 94
• GCD of 80, 34, 82, 86
• GCD of 15, 90, 51, 61
• GCD of 43, 15, 41, 74

1. What is the GCD of 99, 54, 74, 19?

GCD of 99, 54, 74, 19 is 1

2. Where do I get the detailed procedure to find GCD of 99, 54, 74, 19?

You can find a detailed procedure to find GCD of 99, 54, 74, 19 on our page.

3. How to find GCD of 99, 54, 74, 19 on a calculator?

You can find the GCD of 99, 54, 74, 19 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.