GCD of 30, 310, 874, 391 Calculator

Given Input numbers are 30, 310, 874, 391

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 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 391

List of positive integer divisors of 391 that divides 391 without a remainder.

1, 17, 23, 391

Greatest Common Divisior

We found the divisors of 30, 310, 874, 391 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 30, 310, 874, 391 is 1.

Therefore, GCD of numbers 30, 310, 874, 391 is 1

Given Input Data is 30, 310, 874, 391

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 310 is 2 x 5 x 31

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 391 is 17 x 23

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, 310) = 930

GCD(30, 310) = ( 30 x 310 ) / 930

GCD(30, 310) = 9300 / 930

GCD(30, 310) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 874

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

LCM(10, 874) = 4370

GCD(10, 874) = ( 10 x 874 ) / 4370

GCD(10, 874) = 8740 / 4370

GCD(10, 874) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 391

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

LCM(2, 391) = 782

GCD(2, 391) = ( 2 x 391 ) / 782

GCD(2, 391) = 782 / 782

GCD(2, 391) = 1

GCD of 30, 310, 874, 391 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 63, 864, 951, 551
• GCD of 45, 512, 173, 900
• GCD of 70, 791, 389, 819
• GCD of 93, 763, 275, 257
• GCD of 31, 622, 141, 581

1. What is the GCD of 30, 310, 874, 391?

GCD of 30, 310, 874, 391 is 1

2. Where do I get the detailed procedure to find GCD of 30, 310, 874, 391?

You can find a detailed procedure to find GCD of 30, 310, 874, 391 on our page.

3. How to find GCD of 30, 310, 874, 391 on a calculator?

You can find the GCD of 30, 310, 874, 391 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.