GCD of 99, 402, 491, 819 Calculator

Given Input numbers are 99, 402, 491, 819

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 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 491

List of positive integer divisors of 491 that divides 491 without a remainder.

1, 491

Divisors of 819

List of positive integer divisors of 819 that divides 819 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Greatest Common Divisior

We found the divisors of 99, 402, 491, 819 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 99, 402, 491, 819 is 1.

Therefore, GCD of numbers 99, 402, 491, 819 is 1

Given Input Data is 99, 402, 491, 819

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 402 is 2 x 3 x 67

Prime Factorization of 491 is 491

Prime Factorization of 819 is 3 x 3 x 7 x 13

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, 402) = 13266

GCD(99, 402) = ( 99 x 402 ) / 13266

GCD(99, 402) = 39798 / 13266

GCD(99, 402) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 491

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

LCM(3, 491) = 1473

GCD(3, 491) = ( 3 x 491 ) / 1473

GCD(3, 491) = 1473 / 1473

GCD(3, 491) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 819

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

LCM(1, 819) = 819

GCD(1, 819) = ( 1 x 819 ) / 819

GCD(1, 819) = 819 / 819

GCD(1, 819) = 1

GCD of 99, 402, 491, 819 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 72, 814, 323, 572
• GCD of 67, 859, 155, 781
• GCD of 61, 483, 642, 829
• GCD of 45, 827, 130, 640
• GCD of 96, 754, 196, 674

1. What is the GCD of 99, 402, 491, 819?

GCD of 99, 402, 491, 819 is 1

2. Where do I get the detailed procedure to find GCD of 99, 402, 491, 819?

You can find a detailed procedure to find GCD of 99, 402, 491, 819 on our page.

3. How to find GCD of 99, 402, 491, 819 on a calculator?

You can find the GCD of 99, 402, 491, 819 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.