GCD of 330, 200, 90, 392 Calculator

Given Input numbers are 330, 200, 90, 392

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

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 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

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

Greatest Common Divisior

We found the divisors of 330, 200, 90, 392 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 330, 200, 90, 392 is 2.

Therefore, GCD of numbers 330, 200, 90, 392 is 2

Given Input Data is 330, 200, 90, 392

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

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

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

Prime Factorization of 90 is 2 x 3 x 3 x 5

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

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(330, 200) = 6600

GCD(330, 200) = ( 330 x 200 ) / 6600

GCD(330, 200) = 66000 / 6600

GCD(330, 200) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 90

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

LCM(10, 90) = 90

GCD(10, 90) = ( 10 x 90 ) / 90

GCD(10, 90) = 900 / 90

GCD(10, 90) = 10

Step3:

Here we consider the GCD from the above i.e. 10 as first number and the next as 392

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

LCM(10, 392) = 1960

GCD(10, 392) = ( 10 x 392 ) / 1960

GCD(10, 392) = 3920 / 1960

GCD(10, 392) = 2

GCD of 330, 200, 90, 392 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 754, 705, 18, 821
• GCD of 444, 559, 99, 472
• GCD of 679, 742, 68, 387
• GCD of 748, 274, 72, 819
• GCD of 468, 609, 71, 921

1. What is the GCD of 330, 200, 90, 392?

GCD of 330, 200, 90, 392 is 2

2. Where do I get the detailed procedure to find GCD of 330, 200, 90, 392?

You can find a detailed procedure to find GCD of 330, 200, 90, 392 on our page.

3. How to find GCD of 330, 200, 90, 392 on a calculator?

You can find the GCD of 330, 200, 90, 392 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.