GCD of 480, 872, 426, 382 Calculator

Given Input numbers are 480, 872, 426, 382

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 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 426

List of positive integer divisors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Greatest Common Divisior

We found the divisors of 480, 872, 426, 382 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 480, 872, 426, 382 is 2.

Therefore, GCD of numbers 480, 872, 426, 382 is 2

Given Input Data is 480, 872, 426, 382

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 872 is 2 x 2 x 2 x 109

Prime Factorization of 426 is 2 x 3 x 71

Prime Factorization of 382 is 2 x 191

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(480, 872) = 52320

GCD(480, 872) = ( 480 x 872 ) / 52320

GCD(480, 872) = 418560 / 52320

GCD(480, 872) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 426

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

LCM(8, 426) = 1704

GCD(8, 426) = ( 8 x 426 ) / 1704

GCD(8, 426) = 3408 / 1704

GCD(8, 426) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 382

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

LCM(2, 382) = 382

GCD(2, 382) = ( 2 x 382 ) / 382

GCD(2, 382) = 764 / 382

GCD(2, 382) = 2

GCD of 480, 872, 426, 382 is 2

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1. What is the GCD of 480, 872, 426, 382?

GCD of 480, 872, 426, 382 is 2

2. Where do I get the detailed procedure to find GCD of 480, 872, 426, 382?

You can find a detailed procedure to find GCD of 480, 872, 426, 382 on our page.

3. How to find GCD of 480, 872, 426, 382 on a calculator?

You can find the GCD of 480, 872, 426, 382 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.