GCD of 284, 786, 413, 520 Calculator

Given Input numbers are 284, 786, 413, 520

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

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Divisors of 786

List of positive integer divisors of 786 that divides 786 without a remainder.

1, 2, 3, 6, 131, 262, 393, 786

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

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 284, 786, 413, 520 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 284, 786, 413, 520 is 1.

Therefore, GCD of numbers 284, 786, 413, 520 is 1

Given Input Data is 284, 786, 413, 520

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

Prime Factorization of 284 is 2 x 2 x 71

Prime Factorization of 786 is 2 x 3 x 131

Prime Factorization of 413 is 7 x 59

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(284, 786) = 111612

GCD(284, 786) = ( 284 x 786 ) / 111612

GCD(284, 786) = 223224 / 111612

GCD(284, 786) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 413

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

LCM(2, 413) = 826

GCD(2, 413) = ( 2 x 413 ) / 826

GCD(2, 413) = 826 / 826

GCD(2, 413) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 520

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

LCM(1, 520) = 520

GCD(1, 520) = ( 1 x 520 ) / 520

GCD(1, 520) = 520 / 520

GCD(1, 520) = 1

GCD of 284, 786, 413, 520 is 1

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1. What is the GCD of 284, 786, 413, 520?

GCD of 284, 786, 413, 520 is 1

2. Where do I get the detailed procedure to find GCD of 284, 786, 413, 520?

You can find a detailed procedure to find GCD of 284, 786, 413, 520 on our page.

3. How to find GCD of 284, 786, 413, 520 on a calculator?

You can find the GCD of 284, 786, 413, 520 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.