GCD of 106, 480, 96, 323 Calculator

Given Input numbers are 106, 480, 96, 323

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

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

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

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 323

List of positive integer divisors of 323 that divides 323 without a remainder.

1, 17, 19, 323

Greatest Common Divisior

We found the divisors of 106, 480, 96, 323 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 106, 480, 96, 323 is 1.

Therefore, GCD of numbers 106, 480, 96, 323 is 1

Given Input Data is 106, 480, 96, 323

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

Prime Factorization of 106 is 2 x 53

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

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

Prime Factorization of 323 is 17 x 19

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(106, 480) = 25440

GCD(106, 480) = ( 106 x 480 ) / 25440

GCD(106, 480) = 50880 / 25440

GCD(106, 480) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 96

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

LCM(2, 96) = 96

GCD(2, 96) = ( 2 x 96 ) / 96

GCD(2, 96) = 192 / 96

GCD(2, 96) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 323

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

LCM(2, 323) = 646

GCD(2, 323) = ( 2 x 323 ) / 646

GCD(2, 323) = 646 / 646

GCD(2, 323) = 1

GCD of 106, 480, 96, 323 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 934, 706, 11, 782
• GCD of 756, 810, 82, 333
• GCD of 521, 912, 36, 734
• GCD of 202, 769, 74, 684
• GCD of 178, 332, 13, 121

1. What is the GCD of 106, 480, 96, 323?

GCD of 106, 480, 96, 323 is 1

2. Where do I get the detailed procedure to find GCD of 106, 480, 96, 323?

You can find a detailed procedure to find GCD of 106, 480, 96, 323 on our page.

3. How to find GCD of 106, 480, 96, 323 on a calculator?

You can find the GCD of 106, 480, 96, 323 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.