GCD of 74, 23, 33, 21 Calculator

Given Input numbers are 74, 23, 33, 21

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

Divisors of 74

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

1, 2, 37, 74

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 33

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

1, 3, 11, 33

Divisors of 21

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

1, 3, 7, 21

Greatest Common Divisior

We found the divisors of 74, 23, 33, 21 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 74, 23, 33, 21 is 1.

Therefore, GCD of numbers 74, 23, 33, 21 is 1

Given Input Data is 74, 23, 33, 21

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

Prime Factorization of 74 is 2 x 37

Prime Factorization of 23 is 23

Prime Factorization of 33 is 3 x 11

Prime Factorization of 21 is 3 x 7

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(74, 23) = 1702

GCD(74, 23) = ( 74 x 23 ) / 1702

GCD(74, 23) = 1702 / 1702

GCD(74, 23) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 33

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

LCM(1, 33) = 33

GCD(1, 33) = ( 1 x 33 ) / 33

GCD(1, 33) = 33 / 33

GCD(1, 33) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

GCD of 74, 23, 33, 21 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 40, 18, 62, 91
• GCD of 82, 40, 40, 94
• GCD of 85, 94, 10, 18
• GCD of 46, 32, 77, 31
• GCD of 13, 53, 32, 16

1. What is the GCD of 74, 23, 33, 21?

GCD of 74, 23, 33, 21 is 1

2. Where do I get the detailed procedure to find GCD of 74, 23, 33, 21?

You can find a detailed procedure to find GCD of 74, 23, 33, 21 on our page.

3. How to find GCD of 74, 23, 33, 21 on a calculator?

You can find the GCD of 74, 23, 33, 21 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.