GCD of 270, 571, 305, 990 Calculator

Given Input numbers are 270, 571, 305, 990

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 571

List of positive integer divisors of 571 that divides 571 without a remainder.

1, 571

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Greatest Common Divisior

We found the divisors of 270, 571, 305, 990 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 270, 571, 305, 990 is 1.

Therefore, GCD of numbers 270, 571, 305, 990 is 1

Given Input Data is 270, 571, 305, 990

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 571 is 571

Prime Factorization of 305 is 5 x 61

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

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, 571) = 154170

GCD(270, 571) = ( 270 x 571 ) / 154170

GCD(270, 571) = 154170 / 154170

GCD(270, 571) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 305

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

LCM(1, 305) = 305

GCD(1, 305) = ( 1 x 305 ) / 305

GCD(1, 305) = 305 / 305

GCD(1, 305) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 990

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

LCM(1, 990) = 990

GCD(1, 990) = ( 1 x 990 ) / 990

GCD(1, 990) = 990 / 990

GCD(1, 990) = 1

GCD of 270, 571, 305, 990 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 555, 389, 920, 398
• GCD of 446, 282, 396, 617
• GCD of 271, 395, 377, 110
• GCD of 653, 676, 826, 821
• GCD of 139, 997, 507, 112

1. What is the GCD of 270, 571, 305, 990?

GCD of 270, 571, 305, 990 is 1

2. Where do I get the detailed procedure to find GCD of 270, 571, 305, 990?

You can find a detailed procedure to find GCD of 270, 571, 305, 990 on our page.

3. How to find GCD of 270, 571, 305, 990 on a calculator?

You can find the GCD of 270, 571, 305, 990 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.