GCD of 392, 654, 330, 242 Calculator

Given Input numbers are 392, 654, 330, 242

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

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 330

List of positive integer divisors of 330 that divides 330 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Divisors of 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Greatest Common Divisior

We found the divisors of 392, 654, 330, 242 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 392, 654, 330, 242 is 2.

Therefore, GCD of numbers 392, 654, 330, 242 is 2

Given Input Data is 392, 654, 330, 242

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

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 330 is 2 x 3 x 5 x 11

Prime Factorization of 242 is 2 x 11 x 11

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(392, 654) = 128184

GCD(392, 654) = ( 392 x 654 ) / 128184

GCD(392, 654) = 256368 / 128184

GCD(392, 654) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 330

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

LCM(2, 330) = 330

GCD(2, 330) = ( 2 x 330 ) / 330

GCD(2, 330) = 660 / 330

GCD(2, 330) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 242

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

LCM(2, 242) = 242

GCD(2, 242) = ( 2 x 242 ) / 242

GCD(2, 242) = 484 / 242

GCD(2, 242) = 2

GCD of 392, 654, 330, 242 is 2

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1. What is the GCD of 392, 654, 330, 242?

GCD of 392, 654, 330, 242 is 2

2. Where do I get the detailed procedure to find GCD of 392, 654, 330, 242?

You can find a detailed procedure to find GCD of 392, 654, 330, 242 on our page.

3. How to find GCD of 392, 654, 330, 242 on a calculator?

You can find the GCD of 392, 654, 330, 242 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.