GCD of 445, 438, 99, 123 Calculator

Given Input numbers are 445, 438, 99, 123

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

Divisors of 445

List of positive integer divisors of 445 that divides 445 without a remainder.

1, 5, 89, 445

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

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

Greatest Common Divisior

We found the divisors of 445, 438, 99, 123 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 445, 438, 99, 123 is 1.

Therefore, GCD of numbers 445, 438, 99, 123 is 1

Given Input Data is 445, 438, 99, 123

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

Prime Factorization of 445 is 5 x 89

Prime Factorization of 438 is 2 x 3 x 73

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 123 is 3 x 41

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(445, 438) = 194910

GCD(445, 438) = ( 445 x 438 ) / 194910

GCD(445, 438) = 194910 / 194910

GCD(445, 438) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 99

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

LCM(1, 99) = 99

GCD(1, 99) = ( 1 x 99 ) / 99

GCD(1, 99) = 99 / 99

GCD(1, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 123

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

LCM(1, 123) = 123

GCD(1, 123) = ( 1 x 123 ) / 123

GCD(1, 123) = 123 / 123

GCD(1, 123) = 1

GCD of 445, 438, 99, 123 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 728, 292, 88, 927
• GCD of 358, 799, 40, 559
• GCD of 693, 983, 33, 493
• GCD of 271, 218, 92, 901
• GCD of 280, 601, 18, 788

1. What is the GCD of 445, 438, 99, 123?

GCD of 445, 438, 99, 123 is 1

2. Where do I get the detailed procedure to find GCD of 445, 438, 99, 123?

You can find a detailed procedure to find GCD of 445, 438, 99, 123 on our page.

3. How to find GCD of 445, 438, 99, 123 on a calculator?

You can find the GCD of 445, 438, 99, 123 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.