GCD of 312, 403, 914, 569 Calculator

Given Input numbers are 312, 403, 914, 569

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 403

List of positive integer divisors of 403 that divides 403 without a remainder.

1, 13, 31, 403

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Divisors of 569

List of positive integer divisors of 569 that divides 569 without a remainder.

1, 569

Greatest Common Divisior

We found the divisors of 312, 403, 914, 569 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 312, 403, 914, 569 is 1.

Therefore, GCD of numbers 312, 403, 914, 569 is 1

Given Input Data is 312, 403, 914, 569

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 403 is 13 x 31

Prime Factorization of 914 is 2 x 457

Prime Factorization of 569 is 569

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, 403) = 9672

GCD(312, 403) = ( 312 x 403 ) / 9672

GCD(312, 403) = 125736 / 9672

GCD(312, 403) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 914

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

LCM(13, 914) = 11882

GCD(13, 914) = ( 13 x 914 ) / 11882

GCD(13, 914) = 11882 / 11882

GCD(13, 914) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 569

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

LCM(1, 569) = 569

GCD(1, 569) = ( 1 x 569 ) / 569

GCD(1, 569) = 569 / 569

GCD(1, 569) = 1

GCD of 312, 403, 914, 569 is 1

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1. What is the GCD of 312, 403, 914, 569?

GCD of 312, 403, 914, 569 is 1

2. Where do I get the detailed procedure to find GCD of 312, 403, 914, 569?

You can find a detailed procedure to find GCD of 312, 403, 914, 569 on our page.

3. How to find GCD of 312, 403, 914, 569 on a calculator?

You can find the GCD of 312, 403, 914, 569 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.