GCD of 100, 963, 173 Calculator

Given Input numbers are 100, 963, 173

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 963

List of positive integer divisors of 963 that divides 963 without a remainder.

1, 3, 9, 107, 321, 963

Divisors of 173

List of positive integer divisors of 173 that divides 173 without a remainder.

1, 173

Greatest Common Divisior

We found the divisors of 100, 963, 173 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 963, 173 is 1.

Therefore, GCD of numbers 100, 963, 173 is 1

Given Input Data is 100, 963, 173

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 963 is 3 x 3 x 107

Prime Factorization of 173 is 173

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, 963) = 96300

GCD(100, 963) = ( 100 x 963 ) / 96300

GCD(100, 963) = 96300 / 96300

GCD(100, 963) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 173

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

LCM(1, 173) = 173

GCD(1, 173) = ( 1 x 173 ) / 173

GCD(1, 173) = 173 / 173

GCD(1, 173) = 1

GCD of 100, 963, 173 is 1

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1. What is the GCD of 100, 963, 173?

GCD of 100, 963, 173 is 1

2. Where do I get the detailed procedure to find GCD of 100, 963, 173?

You can find a detailed procedure to find GCD of 100, 963, 173 on our page.

3. How to find GCD of 100, 963, 173 on a calculator?

You can find the GCD of 100, 963, 173 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.