GCD of 321, 822, 30, 498 Calculator

Given Input numbers are 321, 822, 30, 498

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

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Divisors of 822

List of positive integer divisors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Greatest Common Divisior

We found the divisors of 321, 822, 30, 498 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 321, 822, 30, 498 is 3.

Therefore, GCD of numbers 321, 822, 30, 498 is 3

Given Input Data is 321, 822, 30, 498

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

Prime Factorization of 321 is 3 x 107

Prime Factorization of 822 is 2 x 3 x 137

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 498 is 2 x 3 x 83

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(321, 822) = 87954

GCD(321, 822) = ( 321 x 822 ) / 87954

GCD(321, 822) = 263862 / 87954

GCD(321, 822) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 30

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

LCM(3, 30) = 30

GCD(3, 30) = ( 3 x 30 ) / 30

GCD(3, 30) = 90 / 30

GCD(3, 30) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 498

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

LCM(3, 498) = 498

GCD(3, 498) = ( 3 x 498 ) / 498

GCD(3, 498) = 1494 / 498

GCD(3, 498) = 3

GCD of 321, 822, 30, 498 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 341, 490, 89, 338
• GCD of 914, 807, 19, 116
• GCD of 396, 655, 29, 731
• GCD of 685, 546, 83, 560
• GCD of 691, 506, 34, 751

1. What is the GCD of 321, 822, 30, 498?

GCD of 321, 822, 30, 498 is 3

2. Where do I get the detailed procedure to find GCD of 321, 822, 30, 498?

You can find a detailed procedure to find GCD of 321, 822, 30, 498 on our page.

3. How to find GCD of 321, 822, 30, 498 on a calculator?

You can find the GCD of 321, 822, 30, 498 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.