GCD of 282, 572, 681, 300 Calculator

Given Input numbers are 282, 572, 681, 300

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

Divisors of 282

List of positive integer divisors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

Divisors of 572

List of positive integer divisors of 572 that divides 572 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

Divisors of 681

List of positive integer divisors of 681 that divides 681 without a remainder.

1, 3, 227, 681

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 282, 572, 681, 300 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 282, 572, 681, 300 is 1.

Therefore, GCD of numbers 282, 572, 681, 300 is 1

Given Input Data is 282, 572, 681, 300

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

Prime Factorization of 282 is 2 x 3 x 47

Prime Factorization of 572 is 2 x 2 x 11 x 13

Prime Factorization of 681 is 3 x 227

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

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(282, 572) = 80652

GCD(282, 572) = ( 282 x 572 ) / 80652

GCD(282, 572) = 161304 / 80652

GCD(282, 572) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 681

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

LCM(2, 681) = 1362

GCD(2, 681) = ( 2 x 681 ) / 1362

GCD(2, 681) = 1362 / 1362

GCD(2, 681) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 300

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

LCM(1, 300) = 300

GCD(1, 300) = ( 1 x 300 ) / 300

GCD(1, 300) = 300 / 300

GCD(1, 300) = 1

GCD of 282, 572, 681, 300 is 1

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1. What is the GCD of 282, 572, 681, 300?

GCD of 282, 572, 681, 300 is 1

2. Where do I get the detailed procedure to find GCD of 282, 572, 681, 300?

You can find a detailed procedure to find GCD of 282, 572, 681, 300 on our page.

3. How to find GCD of 282, 572, 681, 300 on a calculator?

You can find the GCD of 282, 572, 681, 300 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.