GCD of 75, 324, 109, 999 Calculator

Given Input numbers are 75, 324, 109, 999

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 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 999

List of positive integer divisors of 999 that divides 999 without a remainder.

1, 3, 9, 27, 37, 111, 333, 999

Greatest Common Divisior

We found the divisors of 75, 324, 109, 999 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 75, 324, 109, 999 is 1.

Therefore, GCD of numbers 75, 324, 109, 999 is 1

Given Input Data is 75, 324, 109, 999

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 324 is 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 109 is 109

Prime Factorization of 999 is 3 x 3 x 3 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(75, 324) = 8100

GCD(75, 324) = ( 75 x 324 ) / 8100

GCD(75, 324) = 24300 / 8100

GCD(75, 324) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 109

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

LCM(3, 109) = 327

GCD(3, 109) = ( 3 x 109 ) / 327

GCD(3, 109) = 327 / 327

GCD(3, 109) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 999

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

LCM(1, 999) = 999

GCD(1, 999) = ( 1 x 999 ) / 999

GCD(1, 999) = 999 / 999

GCD(1, 999) = 1

GCD of 75, 324, 109, 999 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 56, 486, 990, 323
• GCD of 55, 668, 898, 587
• GCD of 49, 649, 454, 381
• GCD of 96, 511, 142, 591
• GCD of 52, 504, 553, 213

1. What is the GCD of 75, 324, 109, 999?

GCD of 75, 324, 109, 999 is 1

2. Where do I get the detailed procedure to find GCD of 75, 324, 109, 999?

You can find a detailed procedure to find GCD of 75, 324, 109, 999 on our page.

3. How to find GCD of 75, 324, 109, 999 on a calculator?

You can find the GCD of 75, 324, 109, 999 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.