GCD of 566, 882, 300 Calculator

Given Input numbers are 566, 882, 300

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

Divisors of 566

List of positive integer divisors of 566 that divides 566 without a remainder.

1, 2, 283, 566

Divisors of 882

List of positive integer divisors of 882 that divides 882 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

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

Greatest Common Divisior

We found the divisors of 566, 882, 300 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 566, 882, 300 is 2.

Therefore, GCD of numbers 566, 882, 300 is 2

Given Input Data is 566, 882, 300

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

Prime Factorization of 566 is 2 x 283

Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(566, 882) = 249606

GCD(566, 882) = ( 566 x 882 ) / 249606

GCD(566, 882) = 499212 / 249606

GCD(566, 882) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 300

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

LCM(2, 300) = 300

GCD(2, 300) = ( 2 x 300 ) / 300

GCD(2, 300) = 600 / 300

GCD(2, 300) = 2

GCD of 566, 882, 300 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 403, 132, 204
• GCD of 382, 886, 498
• GCD of 284, 871, 152
• GCD of 769, 659, 293
• GCD of 854, 728, 790

1. What is the GCD of 566, 882, 300?

GCD of 566, 882, 300 is 2

2. Where do I get the detailed procedure to find GCD of 566, 882, 300?

You can find a detailed procedure to find GCD of 566, 882, 300 on our page.

3. How to find GCD of 566, 882, 300 on a calculator?

You can find the GCD of 566, 882, 300 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.