GCD of 233, 960, 198 Calculator

Given Input numbers are 233, 960, 198

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

Divisors of 233

List of positive integer divisors of 233 that divides 233 without a remainder.

1, 233

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Greatest Common Divisior

We found the divisors of 233, 960, 198 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 233, 960, 198 is 1.

Therefore, GCD of numbers 233, 960, 198 is 1

Given Input Data is 233, 960, 198

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

Prime Factorization of 233 is 233

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 198 is 2 x 3 x 3 x 11

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(233, 960) = 223680

GCD(233, 960) = ( 233 x 960 ) / 223680

GCD(233, 960) = 223680 / 223680

GCD(233, 960) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 198

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

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

GCD(1, 198) = 198 / 198

GCD(1, 198) = 1

GCD of 233, 960, 198 is 1

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1. What is the GCD of 233, 960, 198?

GCD of 233, 960, 198 is 1

2. Where do I get the detailed procedure to find GCD of 233, 960, 198?

You can find a detailed procedure to find GCD of 233, 960, 198 on our page.

3. How to find GCD of 233, 960, 198 on a calculator?

You can find the GCD of 233, 960, 198 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.