GCD of 714, 676, 399 Calculator

Given Input numbers are 714, 676, 399

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

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

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 399

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

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

Greatest Common Divisior

We found the divisors of 714, 676, 399 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 714, 676, 399 is 1.

Therefore, GCD of numbers 714, 676, 399 is 1

Given Input Data is 714, 676, 399

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

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

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 399 is 3 x 7 x 19

The above numbers do not have any common prime factor. So GCD is 1

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(714, 676) = 241332

GCD(714, 676) = ( 714 x 676 ) / 241332

GCD(714, 676) = 482664 / 241332

GCD(714, 676) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 399

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

LCM(2, 399) = 798

GCD(2, 399) = ( 2 x 399 ) / 798

GCD(2, 399) = 798 / 798

GCD(2, 399) = 1

GCD of 714, 676, 399 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 133, 567, 266
• GCD of 340, 617, 425
• GCD of 401, 272, 783
• GCD of 175, 281, 190
• GCD of 400, 589, 124

1. What is the GCD of 714, 676, 399?

GCD of 714, 676, 399 is 1

2. Where do I get the detailed procedure to find GCD of 714, 676, 399?

You can find a detailed procedure to find GCD of 714, 676, 399 on our page.

3. How to find GCD of 714, 676, 399 on a calculator?

You can find the GCD of 714, 676, 399 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.