GCD of 480, 638, 18, 852 Calculator

Given Input numbers are 480, 638, 18, 852

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 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Greatest Common Divisior

We found the divisors of 480, 638, 18, 852 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 480, 638, 18, 852 is 2.

Therefore, GCD of numbers 480, 638, 18, 852 is 2

Given Input Data is 480, 638, 18, 852

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 638 is 2 x 11 x 29

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 852 is 2 x 2 x 3 x 71

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, 638) = 153120

GCD(480, 638) = ( 480 x 638 ) / 153120

GCD(480, 638) = 306240 / 153120

GCD(480, 638) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 18

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

LCM(2, 18) = 18

GCD(2, 18) = ( 2 x 18 ) / 18

GCD(2, 18) = 36 / 18

GCD(2, 18) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 852

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

LCM(2, 852) = 852

GCD(2, 852) = ( 2 x 852 ) / 852

GCD(2, 852) = 1704 / 852

GCD(2, 852) = 2

GCD of 480, 638, 18, 852 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 655, 184, 33, 571
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• GCD of 815, 881, 16, 745

1. What is the GCD of 480, 638, 18, 852?

GCD of 480, 638, 18, 852 is 2

2. Where do I get the detailed procedure to find GCD of 480, 638, 18, 852?

You can find a detailed procedure to find GCD of 480, 638, 18, 852 on our page.

3. How to find GCD of 480, 638, 18, 852 on a calculator?

You can find the GCD of 480, 638, 18, 852 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.