GCD of 480, 396, 138, 482 Calculator

Given Input numbers are 480, 396, 138, 482

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 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 482

List of positive integer divisors of 482 that divides 482 without a remainder.

1, 2, 241, 482

Greatest Common Divisior

We found the divisors of 480, 396, 138, 482 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 480, 396, 138, 482 is 2.

Therefore, GCD of numbers 480, 396, 138, 482 is 2

Given Input Data is 480, 396, 138, 482

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 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 482 is 2 x 241

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, 396) = 15840

GCD(480, 396) = ( 480 x 396 ) / 15840

GCD(480, 396) = 190080 / 15840

GCD(480, 396) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 138

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

LCM(12, 138) = 276

GCD(12, 138) = ( 12 x 138 ) / 276

GCD(12, 138) = 1656 / 276

GCD(12, 138) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 482

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

LCM(6, 482) = 1446

GCD(6, 482) = ( 6 x 482 ) / 1446

GCD(6, 482) = 2892 / 1446

GCD(6, 482) = 2

GCD of 480, 396, 138, 482 is 2

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1. What is the GCD of 480, 396, 138, 482?

GCD of 480, 396, 138, 482 is 2

2. Where do I get the detailed procedure to find GCD of 480, 396, 138, 482?

You can find a detailed procedure to find GCD of 480, 396, 138, 482 on our page.

3. How to find GCD of 480, 396, 138, 482 on a calculator?

You can find the GCD of 480, 396, 138, 482 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.