GCD of 270, 497, 570, 849 Calculator

Given Input numbers are 270, 497, 570, 849

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 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Divisors of 570

List of positive integer divisors of 570 that divides 570 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Greatest Common Divisior

We found the divisors of 270, 497, 570, 849 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 270, 497, 570, 849 is 1.

Therefore, GCD of numbers 270, 497, 570, 849 is 1

Given Input Data is 270, 497, 570, 849

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 497 is 7 x 71

Prime Factorization of 570 is 2 x 3 x 5 x 19

Prime Factorization of 849 is 3 x 283

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, 497) = 134190

GCD(270, 497) = ( 270 x 497 ) / 134190

GCD(270, 497) = 134190 / 134190

GCD(270, 497) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 570

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

LCM(1, 570) = 570

GCD(1, 570) = ( 1 x 570 ) / 570

GCD(1, 570) = 570 / 570

GCD(1, 570) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 849

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

LCM(1, 849) = 849

GCD(1, 849) = ( 1 x 849 ) / 849

GCD(1, 849) = 849 / 849

GCD(1, 849) = 1

GCD of 270, 497, 570, 849 is 1

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1. What is the GCD of 270, 497, 570, 849?

GCD of 270, 497, 570, 849 is 1

2. Where do I get the detailed procedure to find GCD of 270, 497, 570, 849?

You can find a detailed procedure to find GCD of 270, 497, 570, 849 on our page.

3. How to find GCD of 270, 497, 570, 849 on a calculator?

You can find the GCD of 270, 497, 570, 849 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.