GCD of 300, 556, 713 Calculator

Given Input numbers are 300, 556, 713

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

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 556

List of positive integer divisors of 556 that divides 556 without a remainder.

1, 2, 4, 139, 278, 556

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 300, 556, 713 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 300, 556, 713 is 1.

Therefore, GCD of numbers 300, 556, 713 is 1

Given Input Data is 300, 556, 713

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

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 556 is 2 x 2 x 139

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(300, 556) = 41700

GCD(300, 556) = ( 300 x 556 ) / 41700

GCD(300, 556) = 166800 / 41700

GCD(300, 556) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 713

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

LCM(4, 713) = 2852

GCD(4, 713) = ( 4 x 713 ) / 2852

GCD(4, 713) = 2852 / 2852

GCD(4, 713) = 1

GCD of 300, 556, 713 is 1

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• GCD of 933, 109, 919
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1. What is the GCD of 300, 556, 713?

GCD of 300, 556, 713 is 1

2. Where do I get the detailed procedure to find GCD of 300, 556, 713?

You can find a detailed procedure to find GCD of 300, 556, 713 on our page.

3. How to find GCD of 300, 556, 713 on a calculator?

You can find the GCD of 300, 556, 713 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.