GCD of 99, 459, 818, 434 Calculator

Given Input numbers are 99, 459, 818, 434

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 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Divisors of 818

List of positive integer divisors of 818 that divides 818 without a remainder.

1, 2, 409, 818

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Greatest Common Divisior

We found the divisors of 99, 459, 818, 434 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 99, 459, 818, 434 is 1.

Therefore, GCD of numbers 99, 459, 818, 434 is 1

Given Input Data is 99, 459, 818, 434

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 459 is 3 x 3 x 3 x 17

Prime Factorization of 818 is 2 x 409

Prime Factorization of 434 is 2 x 7 x 31

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, 459) = 5049

GCD(99, 459) = ( 99 x 459 ) / 5049

GCD(99, 459) = 45441 / 5049

GCD(99, 459) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 818

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

LCM(9, 818) = 7362

GCD(9, 818) = ( 9 x 818 ) / 7362

GCD(9, 818) = 7362 / 7362

GCD(9, 818) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 434

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

LCM(1, 434) = 434

GCD(1, 434) = ( 1 x 434 ) / 434

GCD(1, 434) = 434 / 434

GCD(1, 434) = 1

GCD of 99, 459, 818, 434 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 37, 379, 755, 640
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• GCD of 64, 407, 813, 247
• GCD of 90, 598, 131, 656

1. What is the GCD of 99, 459, 818, 434?

GCD of 99, 459, 818, 434 is 1

2. Where do I get the detailed procedure to find GCD of 99, 459, 818, 434?

You can find a detailed procedure to find GCD of 99, 459, 818, 434 on our page.

3. How to find GCD of 99, 459, 818, 434 on a calculator?

You can find the GCD of 99, 459, 818, 434 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.