GCD of 393, 267, 81, 105 Calculator

Given Input numbers are 393, 267, 81, 105

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

Divisors of 393

List of positive integer divisors of 393 that divides 393 without a remainder.

1, 3, 131, 393

Divisors of 267

List of positive integer divisors of 267 that divides 267 without a remainder.

1, 3, 89, 267

Divisors of 81

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

1, 3, 9, 27, 81

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Greatest Common Divisior

We found the divisors of 393, 267, 81, 105 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 393, 267, 81, 105 is 3.

Therefore, GCD of numbers 393, 267, 81, 105 is 3

Given Input Data is 393, 267, 81, 105

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

Prime Factorization of 393 is 3 x 131

Prime Factorization of 267 is 3 x 89

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

Prime Factorization of 105 is 3 x 5 x 7

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(393, 267) = 34977

GCD(393, 267) = ( 393 x 267 ) / 34977

GCD(393, 267) = 104931 / 34977

GCD(393, 267) = 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 105

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

LCM(3, 105) = 105

GCD(3, 105) = ( 3 x 105 ) / 105

GCD(3, 105) = 315 / 105

GCD(3, 105) = 3

GCD of 393, 267, 81, 105 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 691, 448, 73, 391
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• GCD of 256, 780, 14, 352

1. What is the GCD of 393, 267, 81, 105?

GCD of 393, 267, 81, 105 is 3

2. Where do I get the detailed procedure to find GCD of 393, 267, 81, 105?

You can find a detailed procedure to find GCD of 393, 267, 81, 105 on our page.

3. How to find GCD of 393, 267, 81, 105 on a calculator?

You can find the GCD of 393, 267, 81, 105 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.