GCD of 120, 278, 330, 381 Calculator

Given Input numbers are 120, 278, 330, 381

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

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

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 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Greatest Common Divisior

We found the divisors of 120, 278, 330, 381 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 120, 278, 330, 381 is 1.

Therefore, GCD of numbers 120, 278, 330, 381 is 1

Given Input Data is 120, 278, 330, 381

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

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 278 is 2 x 139

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

Prime Factorization of 381 is 3 x 127

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(120, 278) = 16680

GCD(120, 278) = ( 120 x 278 ) / 16680

GCD(120, 278) = 33360 / 16680

GCD(120, 278) = 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 381

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

LCM(2, 381) = 762

GCD(2, 381) = ( 2 x 381 ) / 762

GCD(2, 381) = 762 / 762

GCD(2, 381) = 1

GCD of 120, 278, 330, 381 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 536, 687, 774, 764
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• GCD of 989, 884, 932, 100

1. What is the GCD of 120, 278, 330, 381?

GCD of 120, 278, 330, 381 is 1

2. Where do I get the detailed procedure to find GCD of 120, 278, 330, 381?

You can find a detailed procedure to find GCD of 120, 278, 330, 381 on our page.

3. How to find GCD of 120, 278, 330, 381 on a calculator?

You can find the GCD of 120, 278, 330, 381 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.