GCD of 321, 291, 81, 930 Calculator

Given Input numbers are 321, 291, 81, 930

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

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Divisors of 291

List of positive integer divisors of 291 that divides 291 without a remainder.

1, 3, 97, 291

Divisors of 81

List of positive integer divisors of 81 that divides 81 without a remainder.

1, 3, 9, 27, 81

Divisors of 930

List of positive integer divisors of 930 that divides 930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

Greatest Common Divisior

We found the divisors of 321, 291, 81, 930 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 321, 291, 81, 930 is 3.

Therefore, GCD of numbers 321, 291, 81, 930 is 3

Given Input Data is 321, 291, 81, 930

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

Prime Factorization of 321 is 3 x 107

Prime Factorization of 291 is 3 x 97

Prime Factorization of 81 is 3 x 3 x 3 x 3

Prime Factorization of 930 is 2 x 3 x 5 x 31

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(321, 291) = 31137

GCD(321, 291) = ( 321 x 291 ) / 31137

GCD(321, 291) = 93411 / 31137

GCD(321, 291) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 81

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

LCM(3, 81) = 81

GCD(3, 81) = ( 3 x 81 ) / 81

GCD(3, 81) = 243 / 81

GCD(3, 81) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 930

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

LCM(3, 930) = 930

GCD(3, 930) = ( 3 x 930 ) / 930

GCD(3, 930) = 2790 / 930

GCD(3, 930) = 3

GCD of 321, 291, 81, 930 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 101, 483, 34, 774
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• GCD of 139, 912, 71, 255
• GCD of 754, 586, 37, 806
• GCD of 206, 749, 34, 420

1. What is the GCD of 321, 291, 81, 930?

GCD of 321, 291, 81, 930 is 3

2. Where do I get the detailed procedure to find GCD of 321, 291, 81, 930?

You can find a detailed procedure to find GCD of 321, 291, 81, 930 on our page.

3. How to find GCD of 321, 291, 81, 930 on a calculator?

You can find the GCD of 321, 291, 81, 930 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.