GCD of 384, 399, 714 Calculator

Given Input numbers are 384, 399, 714

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

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

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 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Greatest Common Divisior

We found the divisors of 384, 399, 714 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 384, 399, 714 is 3.

Therefore, GCD of numbers 384, 399, 714 is 3

Given Input Data is 384, 399, 714

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

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 399 is 3 x 7 x 19

Prime Factorization of 714 is 2 x 3 x 7 x 17

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(384, 399) = 51072

GCD(384, 399) = ( 384 x 399 ) / 51072

GCD(384, 399) = 153216 / 51072

GCD(384, 399) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 714

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

LCM(3, 714) = 714

GCD(3, 714) = ( 3 x 714 ) / 714

GCD(3, 714) = 2142 / 714

GCD(3, 714) = 3

GCD of 384, 399, 714 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 111, 461, 705
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• GCD of 890, 318, 141
• GCD of 195, 526, 853
• GCD of 390, 397, 730

1. What is the GCD of 384, 399, 714?

GCD of 384, 399, 714 is 3

2. Where do I get the detailed procedure to find GCD of 384, 399, 714?

You can find a detailed procedure to find GCD of 384, 399, 714 on our page.

3. How to find GCD of 384, 399, 714 on a calculator?

You can find the GCD of 384, 399, 714 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.