GCD of 714, 870, 500, 397 Calculator

Given Input numbers are 714, 870, 500, 397

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 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

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 397

List of positive integer divisors of 397 that divides 397 without a remainder.

1, 397

Greatest Common Divisior

We found the divisors of 714, 870, 500, 397 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 714, 870, 500, 397 is 1.

Therefore, GCD of numbers 714, 870, 500, 397 is 1

Given Input Data is 714, 870, 500, 397

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 870 is 2 x 3 x 5 x 29

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

Prime Factorization of 397 is 397

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, 870) = 103530

GCD(714, 870) = ( 714 x 870 ) / 103530

GCD(714, 870) = 621180 / 103530

GCD(714, 870) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 500

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

LCM(6, 500) = 1500

GCD(6, 500) = ( 6 x 500 ) / 1500

GCD(6, 500) = 3000 / 1500

GCD(6, 500) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 397

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

LCM(2, 397) = 794

GCD(2, 397) = ( 2 x 397 ) / 794

GCD(2, 397) = 794 / 794

GCD(2, 397) = 1

GCD of 714, 870, 500, 397 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 631, 173, 814, 363
• GCD of 960, 302, 664, 184
• GCD of 438, 732, 106, 379
• GCD of 939, 524, 419, 577
• GCD of 893, 781, 945, 505

1. What is the GCD of 714, 870, 500, 397?

GCD of 714, 870, 500, 397 is 1

2. Where do I get the detailed procedure to find GCD of 714, 870, 500, 397?

You can find a detailed procedure to find GCD of 714, 870, 500, 397 on our page.

3. How to find GCD of 714, 870, 500, 397 on a calculator?

You can find the GCD of 714, 870, 500, 397 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.