GCD of 146, 471, 589, 333 Calculator

Given Input numbers are 146, 471, 589, 333

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

Divisors of 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Divisors of 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Divisors of 589

List of positive integer divisors of 589 that divides 589 without a remainder.

1, 19, 31, 589

Divisors of 333

List of positive integer divisors of 333 that divides 333 without a remainder.

1, 3, 9, 37, 111, 333

Greatest Common Divisior

We found the divisors of 146, 471, 589, 333 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 146, 471, 589, 333 is 1.

Therefore, GCD of numbers 146, 471, 589, 333 is 1

Given Input Data is 146, 471, 589, 333

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

Prime Factorization of 146 is 2 x 73

Prime Factorization of 471 is 3 x 157

Prime Factorization of 589 is 19 x 31

Prime Factorization of 333 is 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(146, 471) = 68766

GCD(146, 471) = ( 146 x 471 ) / 68766

GCD(146, 471) = 68766 / 68766

GCD(146, 471) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 589

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

LCM(1, 589) = 589

GCD(1, 589) = ( 1 x 589 ) / 589

GCD(1, 589) = 589 / 589

GCD(1, 589) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 333

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

LCM(1, 333) = 333

GCD(1, 333) = ( 1 x 333 ) / 333

GCD(1, 333) = 333 / 333

GCD(1, 333) = 1

GCD of 146, 471, 589, 333 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 507, 537, 371, 359
• GCD of 590, 625, 776, 984
• GCD of 433, 906, 389, 580
• GCD of 900, 651, 891, 685
• GCD of 900, 702, 319, 102

1. What is the GCD of 146, 471, 589, 333?

GCD of 146, 471, 589, 333 is 1

2. Where do I get the detailed procedure to find GCD of 146, 471, 589, 333?

You can find a detailed procedure to find GCD of 146, 471, 589, 333 on our page.

3. How to find GCD of 146, 471, 589, 333 on a calculator?

You can find the GCD of 146, 471, 589, 333 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.