GCD of 100, 961, 333 Calculator

Given Input numbers are 100, 961, 333

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

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

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 100, 961, 333 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 961, 333 is 1.

Therefore, GCD of numbers 100, 961, 333 is 1

Given Input Data is 100, 961, 333

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

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 961 is 31 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(100, 961) = 96100

GCD(100, 961) = ( 100 x 961 ) / 96100

GCD(100, 961) = 96100 / 96100

GCD(100, 961) = 1

Step2:

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 100, 961, 333 is 1

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1. What is the GCD of 100, 961, 333?

GCD of 100, 961, 333 is 1

2. Where do I get the detailed procedure to find GCD of 100, 961, 333?

You can find a detailed procedure to find GCD of 100, 961, 333 on our page.

3. How to find GCD of 100, 961, 333 on a calculator?

You can find the GCD of 100, 961, 333 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.