GCD of 30, 576, 949, 314 Calculator

Given Input numbers are 30, 576, 949, 314

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

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 949

List of positive integer divisors of 949 that divides 949 without a remainder.

1, 13, 73, 949

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Greatest Common Divisior

We found the divisors of 30, 576, 949, 314 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 30, 576, 949, 314 is 1.

Therefore, GCD of numbers 30, 576, 949, 314 is 1

Given Input Data is 30, 576, 949, 314

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

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 949 is 13 x 73

Prime Factorization of 314 is 2 x 157

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(30, 576) = 2880

GCD(30, 576) = ( 30 x 576 ) / 2880

GCD(30, 576) = 17280 / 2880

GCD(30, 576) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 949

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

LCM(6, 949) = 5694

GCD(6, 949) = ( 6 x 949 ) / 5694

GCD(6, 949) = 5694 / 5694

GCD(6, 949) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 314

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

LCM(1, 314) = 314

GCD(1, 314) = ( 1 x 314 ) / 314

GCD(1, 314) = 314 / 314

GCD(1, 314) = 1

GCD of 30, 576, 949, 314 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 27, 498, 296, 771
• GCD of 39, 868, 304, 489
• GCD of 97, 782, 285, 483
• GCD of 16, 424, 429, 842
• GCD of 53, 490, 675, 639

1. What is the GCD of 30, 576, 949, 314?

GCD of 30, 576, 949, 314 is 1

2. Where do I get the detailed procedure to find GCD of 30, 576, 949, 314?

You can find a detailed procedure to find GCD of 30, 576, 949, 314 on our page.

3. How to find GCD of 30, 576, 949, 314 on a calculator?

You can find the GCD of 30, 576, 949, 314 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.