GCD of 352, 759, 33, 393 Calculator

Given Input numbers are 352, 759, 33, 393

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

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

Divisors of 393

List of positive integer divisors of 393 that divides 393 without a remainder.

1, 3, 131, 393

Greatest Common Divisior

We found the divisors of 352, 759, 33, 393 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 352, 759, 33, 393 is 1.

Therefore, GCD of numbers 352, 759, 33, 393 is 1

Given Input Data is 352, 759, 33, 393

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

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 759 is 3 x 11 x 23

Prime Factorization of 33 is 3 x 11

Prime Factorization of 393 is 3 x 131

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(352, 759) = 24288

GCD(352, 759) = ( 352 x 759 ) / 24288

GCD(352, 759) = 267168 / 24288

GCD(352, 759) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 33

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

LCM(11, 33) = 33

GCD(11, 33) = ( 11 x 33 ) / 33

GCD(11, 33) = 363 / 33

GCD(11, 33) = 11

Step3:

Here we consider the GCD from the above i.e. 11 as first number and the next as 393

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

LCM(11, 393) = 4323

GCD(11, 393) = ( 11 x 393 ) / 4323

GCD(11, 393) = 4323 / 4323

GCD(11, 393) = 1

GCD of 352, 759, 33, 393 is 1

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1. What is the GCD of 352, 759, 33, 393?

GCD of 352, 759, 33, 393 is 1

2. Where do I get the detailed procedure to find GCD of 352, 759, 33, 393?

You can find a detailed procedure to find GCD of 352, 759, 33, 393 on our page.

3. How to find GCD of 352, 759, 33, 393 on a calculator?

You can find the GCD of 352, 759, 33, 393 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.