GCD of 99, 123, 823, 240 Calculator

Given Input numbers are 99, 123, 823, 240

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

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 123

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

1, 3, 41, 123

Divisors of 823

List of positive integer divisors of 823 that divides 823 without a remainder.

1, 823

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

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

Greatest Common Divisior

We found the divisors of 99, 123, 823, 240 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 99, 123, 823, 240 is 1.

Therefore, GCD of numbers 99, 123, 823, 240 is 1

Given Input Data is 99, 123, 823, 240

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

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 123 is 3 x 41

Prime Factorization of 823 is 823

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

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(99, 123) = 4059

GCD(99, 123) = ( 99 x 123 ) / 4059

GCD(99, 123) = 12177 / 4059

GCD(99, 123) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 823

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

LCM(3, 823) = 2469

GCD(3, 823) = ( 3 x 823 ) / 2469

GCD(3, 823) = 2469 / 2469

GCD(3, 823) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 240

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

LCM(1, 240) = 240

GCD(1, 240) = ( 1 x 240 ) / 240

GCD(1, 240) = 240 / 240

GCD(1, 240) = 1

GCD of 99, 123, 823, 240 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 30, 861, 677, 760
• GCD of 17, 943, 149, 922
• GCD of 72, 529, 219, 932
• GCD of 92, 276, 580, 990
• GCD of 16, 179, 494, 552

1. What is the GCD of 99, 123, 823, 240?

GCD of 99, 123, 823, 240 is 1

2. Where do I get the detailed procedure to find GCD of 99, 123, 823, 240?

You can find a detailed procedure to find GCD of 99, 123, 823, 240 on our page.

3. How to find GCD of 99, 123, 823, 240 on a calculator?

You can find the GCD of 99, 123, 823, 240 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.