GCD of 96, 633, 164, 363 Calculator

Given Input numbers are 96, 633, 164, 363

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

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 633

List of positive integer divisors of 633 that divides 633 without a remainder.

1, 3, 211, 633

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Greatest Common Divisior

We found the divisors of 96, 633, 164, 363 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 96, 633, 164, 363 is 1.

Therefore, GCD of numbers 96, 633, 164, 363 is 1

Given Input Data is 96, 633, 164, 363

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

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 633 is 3 x 211

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 363 is 3 x 11 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(96, 633) = 20256

GCD(96, 633) = ( 96 x 633 ) / 20256

GCD(96, 633) = 60768 / 20256

GCD(96, 633) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 164

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

LCM(3, 164) = 492

GCD(3, 164) = ( 3 x 164 ) / 492

GCD(3, 164) = 492 / 492

GCD(3, 164) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 363

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

LCM(1, 363) = 363

GCD(1, 363) = ( 1 x 363 ) / 363

GCD(1, 363) = 363 / 363

GCD(1, 363) = 1

GCD of 96, 633, 164, 363 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 85, 442, 170, 409
• GCD of 52, 170, 800, 469
• GCD of 24, 206, 508, 954
• GCD of 81, 391, 536, 960
• GCD of 10, 633, 325, 468

1. What is the GCD of 96, 633, 164, 363?

GCD of 96, 633, 164, 363 is 1

2. Where do I get the detailed procedure to find GCD of 96, 633, 164, 363?

You can find a detailed procedure to find GCD of 96, 633, 164, 363 on our page.

3. How to find GCD of 96, 633, 164, 363 on a calculator?

You can find the GCD of 96, 633, 164, 363 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.