GCD of 480, 311, 919, 330 Calculator

Given Input numbers are 480, 311, 919, 330

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

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

Divisors of 919

List of positive integer divisors of 919 that divides 919 without a remainder.

1, 919

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

Greatest Common Divisior

We found the divisors of 480, 311, 919, 330 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 480, 311, 919, 330 is 1.

Therefore, GCD of numbers 480, 311, 919, 330 is 1

Given Input Data is 480, 311, 919, 330

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

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 311 is 311

Prime Factorization of 919 is 919

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

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(480, 311) = 149280

GCD(480, 311) = ( 480 x 311 ) / 149280

GCD(480, 311) = 149280 / 149280

GCD(480, 311) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 919

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

LCM(1, 919) = 919

GCD(1, 919) = ( 1 x 919 ) / 919

GCD(1, 919) = 919 / 919

GCD(1, 919) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 330

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

LCM(1, 330) = 330

GCD(1, 330) = ( 1 x 330 ) / 330

GCD(1, 330) = 330 / 330

GCD(1, 330) = 1

GCD of 480, 311, 919, 330 is 1

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1. What is the GCD of 480, 311, 919, 330?

GCD of 480, 311, 919, 330 is 1

2. Where do I get the detailed procedure to find GCD of 480, 311, 919, 330?

You can find a detailed procedure to find GCD of 480, 311, 919, 330 on our page.

3. How to find GCD of 480, 311, 919, 330 on a calculator?

You can find the GCD of 480, 311, 919, 330 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.