GCD of 270, 301, 12, 583 Calculator

Given Input numbers are 270, 301, 12, 583

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 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

Divisors of 12

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

1, 2, 3, 4, 6, 12

Divisors of 583

List of positive integer divisors of 583 that divides 583 without a remainder.

1, 11, 53, 583

Greatest Common Divisior

We found the divisors of 270, 301, 12, 583 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 270, 301, 12, 583 is 1.

Therefore, GCD of numbers 270, 301, 12, 583 is 1

Given Input Data is 270, 301, 12, 583

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 301 is 7 x 43

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 583 is 11 x 53

The above numbers do not have any common prime factor. So GCD is 1

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, 301) = 81270

GCD(270, 301) = ( 270 x 301 ) / 81270

GCD(270, 301) = 81270 / 81270

GCD(270, 301) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 12

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

LCM(1, 12) = 12

GCD(1, 12) = ( 1 x 12 ) / 12

GCD(1, 12) = 12 / 12

GCD(1, 12) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 583

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

LCM(1, 583) = 583

GCD(1, 583) = ( 1 x 583 ) / 583

GCD(1, 583) = 583 / 583

GCD(1, 583) = 1

GCD of 270, 301, 12, 583 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 947, 604, 89, 297
• GCD of 653, 260, 72, 740
• GCD of 352, 418, 34, 271
• GCD of 780, 828, 11, 328
• GCD of 338, 454, 18, 714

1. What is the GCD of 270, 301, 12, 583?

GCD of 270, 301, 12, 583 is 1

2. Where do I get the detailed procedure to find GCD of 270, 301, 12, 583?

You can find a detailed procedure to find GCD of 270, 301, 12, 583 on our page.

3. How to find GCD of 270, 301, 12, 583 on a calculator?

You can find the GCD of 270, 301, 12, 583 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.