GCD of 714, 796, 463 Calculator

Given Input numbers are 714, 796, 463

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 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Divisors of 463

List of positive integer divisors of 463 that divides 463 without a remainder.

1, 463

Greatest Common Divisior

We found the divisors of 714, 796, 463 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 714, 796, 463 is 1.

Therefore, GCD of numbers 714, 796, 463 is 1

Given Input Data is 714, 796, 463

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 796 is 2 x 2 x 199

Prime Factorization of 463 is 463

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, 796) = 284172

GCD(714, 796) = ( 714 x 796 ) / 284172

GCD(714, 796) = 568344 / 284172

GCD(714, 796) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 463

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

LCM(2, 463) = 926

GCD(2, 463) = ( 2 x 463 ) / 926

GCD(2, 463) = 926 / 926

GCD(2, 463) = 1

GCD of 714, 796, 463 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 193, 579, 190
• GCD of 637, 572, 977
• GCD of 613, 178, 781
• GCD of 475, 796, 434
• GCD of 117, 998, 502

1. What is the GCD of 714, 796, 463?

GCD of 714, 796, 463 is 1

2. Where do I get the detailed procedure to find GCD of 714, 796, 463?

You can find a detailed procedure to find GCD of 714, 796, 463 on our page.

3. How to find GCD of 714, 796, 463 on a calculator?

You can find the GCD of 714, 796, 463 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.