GCD of 798, 585, 30, 312 Calculator

Given Input numbers are 798, 585, 30, 312

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

Divisors of 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

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 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

Greatest Common Divisior

We found the divisors of 798, 585, 30, 312 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 798, 585, 30, 312 is 3.

Therefore, GCD of numbers 798, 585, 30, 312 is 3

Given Input Data is 798, 585, 30, 312

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

Prime Factorization of 798 is 2 x 3 x 7 x 19

Prime Factorization of 585 is 3 x 3 x 5 x 13

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(798, 585) = 155610

GCD(798, 585) = ( 798 x 585 ) / 155610

GCD(798, 585) = 466830 / 155610

GCD(798, 585) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 30

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

LCM(3, 30) = 30

GCD(3, 30) = ( 3 x 30 ) / 30

GCD(3, 30) = 90 / 30

GCD(3, 30) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 312

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

LCM(3, 312) = 312

GCD(3, 312) = ( 3 x 312 ) / 312

GCD(3, 312) = 936 / 312

GCD(3, 312) = 3

GCD of 798, 585, 30, 312 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 522, 330, 68, 866
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• GCD of 373, 668, 24, 809
• GCD of 500, 690, 41, 546
• GCD of 617, 430, 26, 645

1. What is the GCD of 798, 585, 30, 312?

GCD of 798, 585, 30, 312 is 3

2. Where do I get the detailed procedure to find GCD of 798, 585, 30, 312?

You can find a detailed procedure to find GCD of 798, 585, 30, 312 on our page.

3. How to find GCD of 798, 585, 30, 312 on a calculator?

You can find the GCD of 798, 585, 30, 312 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.