GCD of 96, 123, 245, 224 Calculator

Given Input numbers are 96, 123, 245, 224

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 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Divisors of 245

List of positive integer divisors of 245 that divides 245 without a remainder.

1, 5, 7, 35, 49, 245

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Greatest Common Divisior

We found the divisors of 96, 123, 245, 224 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 96, 123, 245, 224 is 1.

Therefore, GCD of numbers 96, 123, 245, 224 is 1

Given Input Data is 96, 123, 245, 224

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 123 is 3 x 41

Prime Factorization of 245 is 5 x 7 x 7

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 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, 123) = 3936

GCD(96, 123) = ( 96 x 123 ) / 3936

GCD(96, 123) = 11808 / 3936

GCD(96, 123) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 245

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

LCM(3, 245) = 735

GCD(3, 245) = ( 3 x 245 ) / 735

GCD(3, 245) = 735 / 735

GCD(3, 245) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 224

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

LCM(1, 224) = 224

GCD(1, 224) = ( 1 x 224 ) / 224

GCD(1, 224) = 224 / 224

GCD(1, 224) = 1

GCD of 96, 123, 245, 224 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 12, 965, 907, 329
• GCD of 89, 569, 805, 287
• GCD of 44, 762, 988, 343
• GCD of 43, 122, 269, 998
• GCD of 71, 539, 556, 597

1. What is the GCD of 96, 123, 245, 224?

GCD of 96, 123, 245, 224 is 1

2. Where do I get the detailed procedure to find GCD of 96, 123, 245, 224?

You can find a detailed procedure to find GCD of 96, 123, 245, 224 on our page.

3. How to find GCD of 96, 123, 245, 224 on a calculator?

You can find the GCD of 96, 123, 245, 224 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.