GCD of 33, 84, 16, 74 Calculator

Given Input numbers are 33, 84, 16, 74

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

Divisors of 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

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 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 74

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

1, 2, 37, 74

Greatest Common Divisior

We found the divisors of 33, 84, 16, 74 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 33, 84, 16, 74 is 1.

Therefore, GCD of numbers 33, 84, 16, 74 is 1

Given Input Data is 33, 84, 16, 74

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

Prime Factorization of 33 is 3 x 11

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

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 74 is 2 x 37

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(33, 84) = 924

GCD(33, 84) = ( 33 x 84 ) / 924

GCD(33, 84) = 2772 / 924

GCD(33, 84) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 16

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

LCM(3, 16) = 48

GCD(3, 16) = ( 3 x 16 ) / 48

GCD(3, 16) = 48 / 48

GCD(3, 16) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

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

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 1

GCD of 33, 84, 16, 74 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 38, 17, 56, 47
• GCD of 95, 80, 32, 97
• GCD of 17, 30, 64, 24
• GCD of 75, 47, 65, 42
• GCD of 35, 10, 96, 21

1. What is the GCD of 33, 84, 16, 74?

GCD of 33, 84, 16, 74 is 1

2. Where do I get the detailed procedure to find GCD of 33, 84, 16, 74?

You can find a detailed procedure to find GCD of 33, 84, 16, 74 on our page.

3. How to find GCD of 33, 84, 16, 74 on a calculator?

You can find the GCD of 33, 84, 16, 74 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.