GCD of 399, 861, 417, 555 Calculator

Given Input numbers are 399, 861, 417, 555

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 861

List of positive integer divisors of 861 that divides 861 without a remainder.

1, 3, 7, 21, 41, 123, 287, 861

Divisors of 417

List of positive integer divisors of 417 that divides 417 without a remainder.

1, 3, 139, 417

Divisors of 555

List of positive integer divisors of 555 that divides 555 without a remainder.

1, 3, 5, 15, 37, 111, 185, 555

Greatest Common Divisior

We found the divisors of 399, 861, 417, 555 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 399, 861, 417, 555 is 3.

Therefore, GCD of numbers 399, 861, 417, 555 is 3

Given Input Data is 399, 861, 417, 555

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 861 is 3 x 7 x 41

Prime Factorization of 417 is 3 x 139

Prime Factorization of 555 is 3 x 5 x 37

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, 861) = 16359

GCD(399, 861) = ( 399 x 861 ) / 16359

GCD(399, 861) = 343539 / 16359

GCD(399, 861) = 21

Step2:

Here we consider the GCD from the above i.e. 21 as first number and the next as 417

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

LCM(21, 417) = 2919

GCD(21, 417) = ( 21 x 417 ) / 2919

GCD(21, 417) = 8757 / 2919

GCD(21, 417) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 555

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

LCM(3, 555) = 555

GCD(3, 555) = ( 3 x 555 ) / 555

GCD(3, 555) = 1665 / 555

GCD(3, 555) = 3

GCD of 399, 861, 417, 555 is 3

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1. What is the GCD of 399, 861, 417, 555?

GCD of 399, 861, 417, 555 is 3

2. Where do I get the detailed procedure to find GCD of 399, 861, 417, 555?

You can find a detailed procedure to find GCD of 399, 861, 417, 555 on our page.

3. How to find GCD of 399, 861, 417, 555 on a calculator?

You can find the GCD of 399, 861, 417, 555 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.