GCD of 927, 420, 13, 581 Calculator

Given Input numbers are 927, 420, 13, 581

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

Divisors of 927

List of positive integer divisors of 927 that divides 927 without a remainder.

1, 3, 9, 103, 309, 927

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 13

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

1, 13

Divisors of 581

List of positive integer divisors of 581 that divides 581 without a remainder.

1, 7, 83, 581

Greatest Common Divisior

We found the divisors of 927, 420, 13, 581 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 927, 420, 13, 581 is 1.

Therefore, GCD of numbers 927, 420, 13, 581 is 1

Given Input Data is 927, 420, 13, 581

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

Prime Factorization of 927 is 3 x 3 x 103

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 13 is 13

Prime Factorization of 581 is 7 x 83

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(927, 420) = 129780

GCD(927, 420) = ( 927 x 420 ) / 129780

GCD(927, 420) = 389340 / 129780

GCD(927, 420) = 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 581

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

LCM(1, 581) = 581

GCD(1, 581) = ( 1 x 581 ) / 581

GCD(1, 581) = 581 / 581

GCD(1, 581) = 1

GCD of 927, 420, 13, 581 is 1

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1. What is the GCD of 927, 420, 13, 581?

GCD of 927, 420, 13, 581 is 1

2. Where do I get the detailed procedure to find GCD of 927, 420, 13, 581?

You can find a detailed procedure to find GCD of 927, 420, 13, 581 on our page.

3. How to find GCD of 927, 420, 13, 581 on a calculator?

You can find the GCD of 927, 420, 13, 581 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.