GCD of 735, 333, 39, 199 Calculator

Given Input numbers are 735, 333, 39, 199

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

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 333

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

1, 3, 9, 37, 111, 333

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 199

List of positive integer divisors of 199 that divides 199 without a remainder.

1, 199

Greatest Common Divisior

We found the divisors of 735, 333, 39, 199 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 735, 333, 39, 199 is 1.

Therefore, GCD of numbers 735, 333, 39, 199 is 1

Given Input Data is 735, 333, 39, 199

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

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 333 is 3 x 3 x 37

Prime Factorization of 39 is 3 x 13

Prime Factorization of 199 is 199

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(735, 333) = 81585

GCD(735, 333) = ( 735 x 333 ) / 81585

GCD(735, 333) = 244755 / 81585

GCD(735, 333) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 39

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

LCM(3, 39) = 39

GCD(3, 39) = ( 3 x 39 ) / 39

GCD(3, 39) = 117 / 39

GCD(3, 39) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 199

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

LCM(3, 199) = 597

GCD(3, 199) = ( 3 x 199 ) / 597

GCD(3, 199) = 597 / 597

GCD(3, 199) = 1

GCD of 735, 333, 39, 199 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 370, 469, 13, 702
• GCD of 408, 467, 17, 986
• GCD of 313, 552, 69, 799
• GCD of 372, 769, 58, 242
• GCD of 376, 804, 42, 953

1. What is the GCD of 735, 333, 39, 199?

GCD of 735, 333, 39, 199 is 1

2. Where do I get the detailed procedure to find GCD of 735, 333, 39, 199?

You can find a detailed procedure to find GCD of 735, 333, 39, 199 on our page.

3. How to find GCD of 735, 333, 39, 199 on a calculator?

You can find the GCD of 735, 333, 39, 199 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.