GCD of 646, 221, 30, 498 Calculator

Given Input numbers are 646, 221, 30, 498

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

Divisors of 646

List of positive integer divisors of 646 that divides 646 without a remainder.

1, 2, 17, 19, 34, 38, 323, 646

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

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 646, 221, 30, 498 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 646, 221, 30, 498 is 1.

Therefore, GCD of numbers 646, 221, 30, 498 is 1

Given Input Data is 646, 221, 30, 498

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

Prime Factorization of 646 is 2 x 17 x 19

Prime Factorization of 221 is 13 x 17

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 498 is 2 x 3 x 83

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(646, 221) = 8398

GCD(646, 221) = ( 646 x 221 ) / 8398

GCD(646, 221) = 142766 / 8398

GCD(646, 221) = 17

Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 30

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

LCM(17, 30) = 510

GCD(17, 30) = ( 17 x 30 ) / 510

GCD(17, 30) = 510 / 510

GCD(17, 30) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 498

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

LCM(1, 498) = 498

GCD(1, 498) = ( 1 x 498 ) / 498

GCD(1, 498) = 498 / 498

GCD(1, 498) = 1

GCD of 646, 221, 30, 498 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 347, 367, 48, 857
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• GCD of 830, 148, 45, 600
• GCD of 639, 178, 60, 317
• GCD of 850, 822, 72, 856

1. What is the GCD of 646, 221, 30, 498?

GCD of 646, 221, 30, 498 is 1

2. Where do I get the detailed procedure to find GCD of 646, 221, 30, 498?

You can find a detailed procedure to find GCD of 646, 221, 30, 498 on our page.

3. How to find GCD of 646, 221, 30, 498 on a calculator?

You can find the GCD of 646, 221, 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.