GCD of 290, 828, 18, 486 Calculator

Given Input numbers are 290, 828, 18, 486

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

Divisors of 290

List of positive integer divisors of 290 that divides 290 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 18

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

1, 2, 3, 6, 9, 18

Divisors of 486

List of positive integer divisors of 486 that divides 486 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Greatest Common Divisior

We found the divisors of 290, 828, 18, 486 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 290, 828, 18, 486 is 2.

Therefore, GCD of numbers 290, 828, 18, 486 is 2

Given Input Data is 290, 828, 18, 486

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

Prime Factorization of 290 is 2 x 5 x 29

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3

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(290, 828) = 120060

GCD(290, 828) = ( 290 x 828 ) / 120060

GCD(290, 828) = 240120 / 120060

GCD(290, 828) = 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 486

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

LCM(2, 486) = 486

GCD(2, 486) = ( 2 x 486 ) / 486

GCD(2, 486) = 972 / 486

GCD(2, 486) = 2

GCD of 290, 828, 18, 486 is 2

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1. What is the GCD of 290, 828, 18, 486?

GCD of 290, 828, 18, 486 is 2

2. Where do I get the detailed procedure to find GCD of 290, 828, 18, 486?

You can find a detailed procedure to find GCD of 290, 828, 18, 486 on our page.

3. How to find GCD of 290, 828, 18, 486 on a calculator?

You can find the GCD of 290, 828, 18, 486 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.