GCD of 407, 500, 714, 393 Calculator

Given Input numbers are 407, 500, 714, 393

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

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

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 393

List of positive integer divisors of 393 that divides 393 without a remainder.

1, 3, 131, 393

Greatest Common Divisior

We found the divisors of 407, 500, 714, 393 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 407, 500, 714, 393 is 1.

Therefore, GCD of numbers 407, 500, 714, 393 is 1

Given Input Data is 407, 500, 714, 393

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

Prime Factorization of 407 is 11 x 37

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

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

Prime Factorization of 393 is 3 x 131

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(407, 500) = 203500

GCD(407, 500) = ( 407 x 500 ) / 203500

GCD(407, 500) = 203500 / 203500

GCD(407, 500) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 714

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

LCM(1, 714) = 714

GCD(1, 714) = ( 1 x 714 ) / 714

GCD(1, 714) = 714 / 714

GCD(1, 714) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 393

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

LCM(1, 393) = 393

GCD(1, 393) = ( 1 x 393 ) / 393

GCD(1, 393) = 393 / 393

GCD(1, 393) = 1

GCD of 407, 500, 714, 393 is 1

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1. What is the GCD of 407, 500, 714, 393?

GCD of 407, 500, 714, 393 is 1

2. Where do I get the detailed procedure to find GCD of 407, 500, 714, 393?

You can find a detailed procedure to find GCD of 407, 500, 714, 393 on our page.

3. How to find GCD of 407, 500, 714, 393 on a calculator?

You can find the GCD of 407, 500, 714, 393 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.