GCD of 304, 571, 106, 684 Calculator

Given Input numbers are 304, 571, 106, 684

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

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 571

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

1, 571

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Greatest Common Divisior

We found the divisors of 304, 571, 106, 684 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 304, 571, 106, 684 is 1.

Therefore, GCD of numbers 304, 571, 106, 684 is 1

Given Input Data is 304, 571, 106, 684

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

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

Prime Factorization of 571 is 571

Prime Factorization of 106 is 2 x 53

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

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(304, 571) = 173584

GCD(304, 571) = ( 304 x 571 ) / 173584

GCD(304, 571) = 173584 / 173584

GCD(304, 571) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 106

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

LCM(1, 106) = 106

GCD(1, 106) = ( 1 x 106 ) / 106

GCD(1, 106) = 106 / 106

GCD(1, 106) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 684

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

LCM(1, 684) = 684

GCD(1, 684) = ( 1 x 684 ) / 684

GCD(1, 684) = 684 / 684

GCD(1, 684) = 1

GCD of 304, 571, 106, 684 is 1

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1. What is the GCD of 304, 571, 106, 684?

GCD of 304, 571, 106, 684 is 1

2. Where do I get the detailed procedure to find GCD of 304, 571, 106, 684?

You can find a detailed procedure to find GCD of 304, 571, 106, 684 on our page.

3. How to find GCD of 304, 571, 106, 684 on a calculator?

You can find the GCD of 304, 571, 106, 684 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.