GCD of 933, 342, 152, 225 Calculator

Given Input numbers are 933, 342, 152, 225

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

Divisors of 933

List of positive integer divisors of 933 that divides 933 without a remainder.

1, 3, 311, 933

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Greatest Common Divisior

We found the divisors of 933, 342, 152, 225 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 933, 342, 152, 225 is 1.

Therefore, GCD of numbers 933, 342, 152, 225 is 1

Given Input Data is 933, 342, 152, 225

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

Prime Factorization of 933 is 3 x 311

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 152 is 2 x 2 x 2 x 19

Prime Factorization of 225 is 3 x 3 x 5 x 5

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(933, 342) = 106362

GCD(933, 342) = ( 933 x 342 ) / 106362

GCD(933, 342) = 319086 / 106362

GCD(933, 342) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 152

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

LCM(3, 152) = 456

GCD(3, 152) = ( 3 x 152 ) / 456

GCD(3, 152) = 456 / 456

GCD(3, 152) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 225

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

LCM(1, 225) = 225

GCD(1, 225) = ( 1 x 225 ) / 225

GCD(1, 225) = 225 / 225

GCD(1, 225) = 1

GCD of 933, 342, 152, 225 is 1

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1. What is the GCD of 933, 342, 152, 225?

GCD of 933, 342, 152, 225 is 1

2. Where do I get the detailed procedure to find GCD of 933, 342, 152, 225?

You can find a detailed procedure to find GCD of 933, 342, 152, 225 on our page.

3. How to find GCD of 933, 342, 152, 225 on a calculator?

You can find the GCD of 933, 342, 152, 225 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.