GCD of 75, 84, 18, 23 Calculator

Given Input numbers are 75, 84, 18, 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 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 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

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, 84, 18, 23 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 75, 84, 18, 23 is 1.

Therefore, GCD of numbers 75, 84, 18, 23 is 1

Given Input Data is 75, 84, 18, 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 84 is 2 x 2 x 3 x 7

Prime Factorization of 18 is 2 x 3 x 3

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, 84) = 2100

GCD(75, 84) = ( 75 x 84 ) / 2100

GCD(75, 84) = 6300 / 2100

GCD(75, 84) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 18

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

LCM(3, 18) = 18

GCD(3, 18) = ( 3 x 18 ) / 18

GCD(3, 18) = 54 / 18

GCD(3, 18) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 23

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

LCM(3, 23) = 69

GCD(3, 23) = ( 3 x 23 ) / 69

GCD(3, 23) = 69 / 69

GCD(3, 23) = 1

GCD of 75, 84, 18, 23 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 72, 82, 19, 87
• GCD of 76, 54, 43, 72
• GCD of 33, 56, 97, 56
• GCD of 76, 29, 12, 74
• GCD of 21, 80, 99, 53

1. What is the GCD of 75, 84, 18, 23?

GCD of 75, 84, 18, 23 is 1

2. Where do I get the detailed procedure to find GCD of 75, 84, 18, 23?

You can find a detailed procedure to find GCD of 75, 84, 18, 23 on our page.

3. How to find GCD of 75, 84, 18, 23 on a calculator?

You can find the GCD of 75, 84, 18, 23 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.