GCD of 480, 239, 418, 789 Calculator

Given Input numbers are 480, 239, 418, 789

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 239

List of positive integer divisors of 239 that divides 239 without a remainder.

1, 239

Divisors of 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 789

List of positive integer divisors of 789 that divides 789 without a remainder.

1, 3, 263, 789

Greatest Common Divisior

We found the divisors of 480, 239, 418, 789 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 480, 239, 418, 789 is 1.

Therefore, GCD of numbers 480, 239, 418, 789 is 1

Given Input Data is 480, 239, 418, 789

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 239 is 239

Prime Factorization of 418 is 2 x 11 x 19

Prime Factorization of 789 is 3 x 263

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, 239) = 114720

GCD(480, 239) = ( 480 x 239 ) / 114720

GCD(480, 239) = 114720 / 114720

GCD(480, 239) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 418

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

LCM(1, 418) = 418

GCD(1, 418) = ( 1 x 418 ) / 418

GCD(1, 418) = 418 / 418

GCD(1, 418) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 789

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

LCM(1, 789) = 789

GCD(1, 789) = ( 1 x 789 ) / 789

GCD(1, 789) = 789 / 789

GCD(1, 789) = 1

GCD of 480, 239, 418, 789 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 435, 363, 875, 468
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• GCD of 343, 628, 388, 211
• GCD of 109, 578, 211, 552
• GCD of 418, 254, 726, 272

1. What is the GCD of 480, 239, 418, 789?

GCD of 480, 239, 418, 789 is 1

2. Where do I get the detailed procedure to find GCD of 480, 239, 418, 789?

You can find a detailed procedure to find GCD of 480, 239, 418, 789 on our page.

3. How to find GCD of 480, 239, 418, 789 on a calculator?

You can find the GCD of 480, 239, 418, 789 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.