GCD of 186, 552, 13, 584 Calculator

Given Input numbers are 186, 552, 13, 584

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

Divisors of 186

List of positive integer divisors of 186 that divides 186 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186

Divisors of 552

List of positive integer divisors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 13

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

1, 13

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Greatest Common Divisior

We found the divisors of 186, 552, 13, 584 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 186, 552, 13, 584 is 1.

Therefore, GCD of numbers 186, 552, 13, 584 is 1

Given Input Data is 186, 552, 13, 584

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

Prime Factorization of 186 is 2 x 3 x 31

Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23

Prime Factorization of 13 is 13

Prime Factorization of 584 is 2 x 2 x 2 x 73

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(186, 552) = 17112

GCD(186, 552) = ( 186 x 552 ) / 17112

GCD(186, 552) = 102672 / 17112

GCD(186, 552) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 13

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

LCM(6, 13) = 78

GCD(6, 13) = ( 6 x 13 ) / 78

GCD(6, 13) = 78 / 78

GCD(6, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 584

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

LCM(1, 584) = 584

GCD(1, 584) = ( 1 x 584 ) / 584

GCD(1, 584) = 584 / 584

GCD(1, 584) = 1

GCD of 186, 552, 13, 584 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 783, 522, 41, 575
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• GCD of 707, 786, 70, 237

1. What is the GCD of 186, 552, 13, 584?

GCD of 186, 552, 13, 584 is 1

2. Where do I get the detailed procedure to find GCD of 186, 552, 13, 584?

You can find a detailed procedure to find GCD of 186, 552, 13, 584 on our page.

3. How to find GCD of 186, 552, 13, 584 on a calculator?

You can find the GCD of 186, 552, 13, 584 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.