GCD of 714, 568, 961, 713 Calculator

Given Input numbers are 714, 568, 961, 713

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 568

List of positive integer divisors of 568 that divides 568 without a remainder.

1, 2, 4, 8, 71, 142, 284, 568

Divisors of 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

Divisors of 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Greatest Common Divisior

We found the divisors of 714, 568, 961, 713 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 714, 568, 961, 713 is 1.

Therefore, GCD of numbers 714, 568, 961, 713 is 1

Given Input Data is 714, 568, 961, 713

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 568 is 2 x 2 x 2 x 71

Prime Factorization of 961 is 31 x 31

Prime Factorization of 713 is 23 x 31

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, 568) = 202776

GCD(714, 568) = ( 714 x 568 ) / 202776

GCD(714, 568) = 405552 / 202776

GCD(714, 568) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 961

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

LCM(2, 961) = 1922

GCD(2, 961) = ( 2 x 961 ) / 1922

GCD(2, 961) = 1922 / 1922

GCD(2, 961) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 713

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

LCM(1, 713) = 713

GCD(1, 713) = ( 1 x 713 ) / 713

GCD(1, 713) = 713 / 713

GCD(1, 713) = 1

GCD of 714, 568, 961, 713 is 1

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• GCD of 699, 131, 451, 559
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1. What is the GCD of 714, 568, 961, 713?

GCD of 714, 568, 961, 713 is 1

2. Where do I get the detailed procedure to find GCD of 714, 568, 961, 713?

You can find a detailed procedure to find GCD of 714, 568, 961, 713 on our page.

3. How to find GCD of 714, 568, 961, 713 on a calculator?

You can find the GCD of 714, 568, 961, 713 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.