GCD of 399, 924, 54, 807 Calculator

Given Input numbers are 399, 924, 54, 807

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

Divisors of 399

List of positive integer divisors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

Divisors of 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 807

List of positive integer divisors of 807 that divides 807 without a remainder.

1, 3, 269, 807

Greatest Common Divisior

We found the divisors of 399, 924, 54, 807 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 399, 924, 54, 807 is 3.

Therefore, GCD of numbers 399, 924, 54, 807 is 3

Given Input Data is 399, 924, 54, 807

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

Prime Factorization of 399 is 3 x 7 x 19

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 807 is 3 x 269

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(399, 924) = 17556

GCD(399, 924) = ( 399 x 924 ) / 17556

GCD(399, 924) = 368676 / 17556

GCD(399, 924) = 21

Step2:

Here we consider the GCD from the above i.e. 21 as first number and the next as 54

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

LCM(21, 54) = 378

GCD(21, 54) = ( 21 x 54 ) / 378

GCD(21, 54) = 1134 / 378

GCD(21, 54) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 807

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

LCM(3, 807) = 807

GCD(3, 807) = ( 3 x 807 ) / 807

GCD(3, 807) = 2421 / 807

GCD(3, 807) = 3

GCD of 399, 924, 54, 807 is 3

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• GCD of 806, 722, 19, 985
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1. What is the GCD of 399, 924, 54, 807?

GCD of 399, 924, 54, 807 is 3

2. Where do I get the detailed procedure to find GCD of 399, 924, 54, 807?

You can find a detailed procedure to find GCD of 399, 924, 54, 807 on our page.

3. How to find GCD of 399, 924, 54, 807 on a calculator?

You can find the GCD of 399, 924, 54, 807 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.