GCD of 270, 452, 180, 482 Calculator

Given Input numbers are 270, 452, 180, 482

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

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 452

List of positive integer divisors of 452 that divides 452 without a remainder.

1, 2, 4, 113, 226, 452

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

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 270, 452, 180, 482 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 270, 452, 180, 482 is 2.

Therefore, GCD of numbers 270, 452, 180, 482 is 2

Given Input Data is 270, 452, 180, 482

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

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 452 is 2 x 2 x 113

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

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(270, 452) = 61020

GCD(270, 452) = ( 270 x 452 ) / 61020

GCD(270, 452) = 122040 / 61020

GCD(270, 452) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 180

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

LCM(2, 180) = 180

GCD(2, 180) = ( 2 x 180 ) / 180

GCD(2, 180) = 360 / 180

GCD(2, 180) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 482

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

LCM(2, 482) = 482

GCD(2, 482) = ( 2 x 482 ) / 482

GCD(2, 482) = 964 / 482

GCD(2, 482) = 2

GCD of 270, 452, 180, 482 is 2

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1. What is the GCD of 270, 452, 180, 482?

GCD of 270, 452, 180, 482 is 2

2. Where do I get the detailed procedure to find GCD of 270, 452, 180, 482?

You can find a detailed procedure to find GCD of 270, 452, 180, 482 on our page.

3. How to find GCD of 270, 452, 180, 482 on a calculator?

You can find the GCD of 270, 452, 180, 482 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.