GCD of 506, 928, 59, 312 Calculator

Given Input numbers are 506, 928, 59, 312

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

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 928

List of positive integer divisors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Greatest Common Divisior

We found the divisors of 506, 928, 59, 312 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 506, 928, 59, 312 is 1.

Therefore, GCD of numbers 506, 928, 59, 312 is 1

Given Input Data is 506, 928, 59, 312

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

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29

Prime Factorization of 59 is 59

Prime Factorization of 312 is 2 x 2 x 2 x 3 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(506, 928) = 234784

GCD(506, 928) = ( 506 x 928 ) / 234784

GCD(506, 928) = 469568 / 234784

GCD(506, 928) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 59

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

LCM(2, 59) = 118

GCD(2, 59) = ( 2 x 59 ) / 118

GCD(2, 59) = 118 / 118

GCD(2, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 312

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

LCM(1, 312) = 312

GCD(1, 312) = ( 1 x 312 ) / 312

GCD(1, 312) = 312 / 312

GCD(1, 312) = 1

GCD of 506, 928, 59, 312 is 1

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• GCD of 227, 541, 54, 517
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1. What is the GCD of 506, 928, 59, 312?

GCD of 506, 928, 59, 312 is 1

2. Where do I get the detailed procedure to find GCD of 506, 928, 59, 312?

You can find a detailed procedure to find GCD of 506, 928, 59, 312 on our page.

3. How to find GCD of 506, 928, 59, 312 on a calculator?

You can find the GCD of 506, 928, 59, 312 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.