GCD of 287, 714, 389, 736 Calculator

Given Input numbers are 287, 714, 389, 736

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

Divisors of 287

List of positive integer divisors of 287 that divides 287 without a remainder.

1, 7, 41, 287

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 389

List of positive integer divisors of 389 that divides 389 without a remainder.

1, 389

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Greatest Common Divisior

We found the divisors of 287, 714, 389, 736 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 287, 714, 389, 736 is 1.

Therefore, GCD of numbers 287, 714, 389, 736 is 1

Given Input Data is 287, 714, 389, 736

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

Prime Factorization of 287 is 7 x 41

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

Prime Factorization of 389 is 389

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

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(287, 714) = 29274

GCD(287, 714) = ( 287 x 714 ) / 29274

GCD(287, 714) = 204918 / 29274

GCD(287, 714) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 389

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

LCM(7, 389) = 2723

GCD(7, 389) = ( 7 x 389 ) / 2723

GCD(7, 389) = 2723 / 2723

GCD(7, 389) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 736

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

LCM(1, 736) = 736

GCD(1, 736) = ( 1 x 736 ) / 736

GCD(1, 736) = 736 / 736

GCD(1, 736) = 1

GCD of 287, 714, 389, 736 is 1

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1. What is the GCD of 287, 714, 389, 736?

GCD of 287, 714, 389, 736 is 1

2. Where do I get the detailed procedure to find GCD of 287, 714, 389, 736?

You can find a detailed procedure to find GCD of 287, 714, 389, 736 on our page.

3. How to find GCD of 287, 714, 389, 736 on a calculator?

You can find the GCD of 287, 714, 389, 736 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.