GCD of 75, 13, 33, 23 Calculator

Given Input numbers are 75, 13, 33, 23

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

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 13

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

1, 13

Divisors of 33

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

1, 3, 11, 33

Divisors of 23

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

1, 23

Greatest Common Divisior

We found the divisors of 75, 13, 33, 23 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 75, 13, 33, 23 is 1.

Therefore, GCD of numbers 75, 13, 33, 23 is 1

Given Input Data is 75, 13, 33, 23

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

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 13 is 13

Prime Factorization of 33 is 3 x 11

Prime Factorization of 23 is 23

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(75, 13) = 975

GCD(75, 13) = ( 75 x 13 ) / 975

GCD(75, 13) = 975 / 975

GCD(75, 13) = 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 23

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

LCM(1, 23) = 23

GCD(1, 23) = ( 1 x 23 ) / 23

GCD(1, 23) = 23 / 23

GCD(1, 23) = 1

GCD of 75, 13, 33, 23 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 26, 57, 24, 13
• GCD of 43, 15, 31, 19
• GCD of 49, 96, 27, 39
• GCD of 53, 68, 14, 92
• GCD of 29, 27, 31, 39

1. What is the GCD of 75, 13, 33, 23?

GCD of 75, 13, 33, 23 is 1

2. Where do I get the detailed procedure to find GCD of 75, 13, 33, 23?

You can find a detailed procedure to find GCD of 75, 13, 33, 23 on our page.

3. How to find GCD of 75, 13, 33, 23 on a calculator?

You can find the GCD of 75, 13, 33, 23 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.