GCD of 312, 928, 65, 571 Calculator

Given Input numbers are 312, 928, 65, 571

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

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

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 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 571

List of positive integer divisors of 571 that divides 571 without a remainder.

1, 571

Greatest Common Divisior

We found the divisors of 312, 928, 65, 571 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 312, 928, 65, 571 is 1.

Therefore, GCD of numbers 312, 928, 65, 571 is 1

Given Input Data is 312, 928, 65, 571

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

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

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

Prime Factorization of 65 is 5 x 13

Prime Factorization of 571 is 571

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(312, 928) = 36192

GCD(312, 928) = ( 312 x 928 ) / 36192

GCD(312, 928) = 289536 / 36192

GCD(312, 928) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 65

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

LCM(8, 65) = 520

GCD(8, 65) = ( 8 x 65 ) / 520

GCD(8, 65) = 520 / 520

GCD(8, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 571

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

LCM(1, 571) = 571

GCD(1, 571) = ( 1 x 571 ) / 571

GCD(1, 571) = 571 / 571

GCD(1, 571) = 1

GCD of 312, 928, 65, 571 is 1

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1. What is the GCD of 312, 928, 65, 571?

GCD of 312, 928, 65, 571 is 1

2. Where do I get the detailed procedure to find GCD of 312, 928, 65, 571?

You can find a detailed procedure to find GCD of 312, 928, 65, 571 on our page.

3. How to find GCD of 312, 928, 65, 571 on a calculator?

You can find the GCD of 312, 928, 65, 571 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.