GCD of 984, 521, 30, 313 Calculator

Given Input numbers are 984, 521, 30, 313

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

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 521

List of positive integer divisors of 521 that divides 521 without a remainder.

1, 521

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 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Greatest Common Divisior

We found the divisors of 984, 521, 30, 313 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 984, 521, 30, 313 is 1.

Therefore, GCD of numbers 984, 521, 30, 313 is 1

Given Input Data is 984, 521, 30, 313

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

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 521 is 521

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 313 is 313

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(984, 521) = 512664

GCD(984, 521) = ( 984 x 521 ) / 512664

GCD(984, 521) = 512664 / 512664

GCD(984, 521) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 30

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

LCM(1, 30) = 30

GCD(1, 30) = ( 1 x 30 ) / 30

GCD(1, 30) = 30 / 30

GCD(1, 30) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 313

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

LCM(1, 313) = 313

GCD(1, 313) = ( 1 x 313 ) / 313

GCD(1, 313) = 313 / 313

GCD(1, 313) = 1

GCD of 984, 521, 30, 313 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 643, 121, 34, 786
• GCD of 658, 737, 31, 789
• GCD of 742, 795, 79, 506
• GCD of 969, 616, 46, 973
• GCD of 550, 389, 55, 788

1. What is the GCD of 984, 521, 30, 313?

GCD of 984, 521, 30, 313 is 1

2. Where do I get the detailed procedure to find GCD of 984, 521, 30, 313?

You can find a detailed procedure to find GCD of 984, 521, 30, 313 on our page.

3. How to find GCD of 984, 521, 30, 313 on a calculator?

You can find the GCD of 984, 521, 30, 313 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.