GCD of 540, 213, 13, 849 Calculator

Given Input numbers are 540, 213, 13, 849

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

Divisors of 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

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 540, 213, 13, 849 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 540, 213, 13, 849 is 1.

Therefore, GCD of numbers 540, 213, 13, 849 is 1

Given Input Data is 540, 213, 13, 849

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

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

Prime Factorization of 213 is 3 x 71

Prime Factorization of 13 is 13

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(540, 213) = 38340

GCD(540, 213) = ( 540 x 213 ) / 38340

GCD(540, 213) = 115020 / 38340

GCD(540, 213) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 13

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

LCM(3, 13) = 39

GCD(3, 13) = ( 3 x 13 ) / 39

GCD(3, 13) = 39 / 39

GCD(3, 13) = 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 540, 213, 13, 849 is 1

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• GCD of 947, 211, 82, 113
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1. What is the GCD of 540, 213, 13, 849?

GCD of 540, 213, 13, 849 is 1

2. Where do I get the detailed procedure to find GCD of 540, 213, 13, 849?

You can find a detailed procedure to find GCD of 540, 213, 13, 849 on our page.

3. How to find GCD of 540, 213, 13, 849 on a calculator?

You can find the GCD of 540, 213, 13, 849 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.