GCD of 186, 768, 15, 520 Calculator

Given Input numbers are 186, 768, 15, 520

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 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Greatest Common Divisior

We found the divisors of 186, 768, 15, 520 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 186, 768, 15, 520 is 1.

Therefore, GCD of numbers 186, 768, 15, 520 is 1

Given Input Data is 186, 768, 15, 520

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 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 15 is 3 x 5

Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13

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, 768) = 23808

GCD(186, 768) = ( 186 x 768 ) / 23808

GCD(186, 768) = 142848 / 23808

GCD(186, 768) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 15

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

LCM(6, 15) = 30

GCD(6, 15) = ( 6 x 15 ) / 30

GCD(6, 15) = 90 / 30

GCD(6, 15) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 520

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

LCM(3, 520) = 1560

GCD(3, 520) = ( 3 x 520 ) / 1560

GCD(3, 520) = 1560 / 1560

GCD(3, 520) = 1

GCD of 186, 768, 15, 520 is 1

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• GCD of 494, 399, 73, 592
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• GCD of 627, 451, 55, 232

1. What is the GCD of 186, 768, 15, 520?

GCD of 186, 768, 15, 520 is 1

2. Where do I get the detailed procedure to find GCD of 186, 768, 15, 520?

You can find a detailed procedure to find GCD of 186, 768, 15, 520 on our page.

3. How to find GCD of 186, 768, 15, 520 on a calculator?

You can find the GCD of 186, 768, 15, 520 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.