GCD of 12, 464, 486, 270 Calculator

Given Input numbers are 12, 464, 486, 270

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

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

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

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

Greatest Common Divisior

We found the divisors of 12, 464, 486, 270 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 12, 464, 486, 270 is 2.

Therefore, GCD of numbers 12, 464, 486, 270 is 2

Given Input Data is 12, 464, 486, 270

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

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

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

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

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(12, 464) = 1392

GCD(12, 464) = ( 12 x 464 ) / 1392

GCD(12, 464) = 5568 / 1392

GCD(12, 464) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 486

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

LCM(4, 486) = 972

GCD(4, 486) = ( 4 x 486 ) / 972

GCD(4, 486) = 1944 / 972

GCD(4, 486) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 270

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

LCM(2, 270) = 270

GCD(2, 270) = ( 2 x 270 ) / 270

GCD(2, 270) = 540 / 270

GCD(2, 270) = 2

GCD of 12, 464, 486, 270 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 50, 841, 417, 939
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• GCD of 50, 247, 345, 541
• GCD of 25, 683, 273, 282
• GCD of 34, 333, 837, 321

1. What is the GCD of 12, 464, 486, 270?

GCD of 12, 464, 486, 270 is 2

2. Where do I get the detailed procedure to find GCD of 12, 464, 486, 270?

You can find a detailed procedure to find GCD of 12, 464, 486, 270 on our page.

3. How to find GCD of 12, 464, 486, 270 on a calculator?

You can find the GCD of 12, 464, 486, 270 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.