GCD of 839, 533, 814, 714 Calculator

Given Input numbers are 839, 533, 814, 714

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

Divisors of 839

List of positive integer divisors of 839 that divides 839 without a remainder.

1, 839

Divisors of 533

List of positive integer divisors of 533 that divides 533 without a remainder.

1, 13, 41, 533

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

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 839, 533, 814, 714 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 839, 533, 814, 714 is 1.

Therefore, GCD of numbers 839, 533, 814, 714 is 1

Given Input Data is 839, 533, 814, 714

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

Prime Factorization of 839 is 839

Prime Factorization of 533 is 13 x 41

Prime Factorization of 814 is 2 x 11 x 37

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

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(839, 533) = 447187

GCD(839, 533) = ( 839 x 533 ) / 447187

GCD(839, 533) = 447187 / 447187

GCD(839, 533) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 814

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

LCM(1, 814) = 814

GCD(1, 814) = ( 1 x 814 ) / 814

GCD(1, 814) = 814 / 814

GCD(1, 814) = 1

Step3:

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

GCD of 839, 533, 814, 714 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 179, 460, 411, 988
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• GCD of 675, 343, 286, 760
• GCD of 369, 344, 785, 104

1. What is the GCD of 839, 533, 814, 714?

GCD of 839, 533, 814, 714 is 1

2. Where do I get the detailed procedure to find GCD of 839, 533, 814, 714?

You can find a detailed procedure to find GCD of 839, 533, 814, 714 on our page.

3. How to find GCD of 839, 533, 814, 714 on a calculator?

You can find the GCD of 839, 533, 814, 714 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.