GCD of 96, 489, 809, 105 Calculator

Given Input numbers are 96, 489, 809, 105

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 489

List of positive integer divisors of 489 that divides 489 without a remainder.

1, 3, 163, 489

Divisors of 809

List of positive integer divisors of 809 that divides 809 without a remainder.

1, 809

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Greatest Common Divisior

We found the divisors of 96, 489, 809, 105 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 96, 489, 809, 105 is 1.

Therefore, GCD of numbers 96, 489, 809, 105 is 1

Given Input Data is 96, 489, 809, 105

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 489 is 3 x 163

Prime Factorization of 809 is 809

Prime Factorization of 105 is 3 x 5 x 7

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, 489) = 15648

GCD(96, 489) = ( 96 x 489 ) / 15648

GCD(96, 489) = 46944 / 15648

GCD(96, 489) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 809

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

LCM(3, 809) = 2427

GCD(3, 809) = ( 3 x 809 ) / 2427

GCD(3, 809) = 2427 / 2427

GCD(3, 809) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 105

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

LCM(1, 105) = 105

GCD(1, 105) = ( 1 x 105 ) / 105

GCD(1, 105) = 105 / 105

GCD(1, 105) = 1

GCD of 96, 489, 809, 105 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 70, 754, 821, 885
• GCD of 54, 229, 486, 103
• GCD of 71, 395, 402, 165
• GCD of 14, 194, 715, 195
• GCD of 66, 849, 378, 148

1. What is the GCD of 96, 489, 809, 105?

GCD of 96, 489, 809, 105 is 1

2. Where do I get the detailed procedure to find GCD of 96, 489, 809, 105?

You can find a detailed procedure to find GCD of 96, 489, 809, 105 on our page.

3. How to find GCD of 96, 489, 809, 105 on a calculator?

You can find the GCD of 96, 489, 809, 105 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.