GCD of 75, 309, 425, 183 Calculator

Given Input numbers are 75, 309, 425, 183

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 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 425

List of positive integer divisors of 425 that divides 425 without a remainder.

1, 5, 17, 25, 85, 425

Divisors of 183

List of positive integer divisors of 183 that divides 183 without a remainder.

1, 3, 61, 183

Greatest Common Divisior

We found the divisors of 75, 309, 425, 183 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 75, 309, 425, 183 is 1.

Therefore, GCD of numbers 75, 309, 425, 183 is 1

Given Input Data is 75, 309, 425, 183

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 309 is 3 x 103

Prime Factorization of 425 is 5 x 5 x 17

Prime Factorization of 183 is 3 x 61

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, 309) = 7725

GCD(75, 309) = ( 75 x 309 ) / 7725

GCD(75, 309) = 23175 / 7725

GCD(75, 309) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 425

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

LCM(3, 425) = 1275

GCD(3, 425) = ( 3 x 425 ) / 1275

GCD(3, 425) = 1275 / 1275

GCD(3, 425) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 183

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

LCM(1, 183) = 183

GCD(1, 183) = ( 1 x 183 ) / 183

GCD(1, 183) = 183 / 183

GCD(1, 183) = 1

GCD of 75, 309, 425, 183 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 13, 845, 397, 719
• GCD of 85, 386, 960, 442
• GCD of 77, 687, 357, 265
• GCD of 90, 618, 784, 571
• GCD of 95, 773, 671, 793

1. What is the GCD of 75, 309, 425, 183?

GCD of 75, 309, 425, 183 is 1

2. Where do I get the detailed procedure to find GCD of 75, 309, 425, 183?

You can find a detailed procedure to find GCD of 75, 309, 425, 183 on our page.

3. How to find GCD of 75, 309, 425, 183 on a calculator?

You can find the GCD of 75, 309, 425, 183 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.