GCD of 574, 618, 300, 113 Calculator

Given Input numbers are 574, 618, 300, 113

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

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 618

List of positive integer divisors of 618 that divides 618 without a remainder.

1, 2, 3, 6, 103, 206, 309, 618

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 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Greatest Common Divisior

We found the divisors of 574, 618, 300, 113 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 574, 618, 300, 113 is 1.

Therefore, GCD of numbers 574, 618, 300, 113 is 1

Given Input Data is 574, 618, 300, 113

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

Prime Factorization of 574 is 2 x 7 x 41

Prime Factorization of 618 is 2 x 3 x 103

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

Prime Factorization of 113 is 113

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(574, 618) = 177366

GCD(574, 618) = ( 574 x 618 ) / 177366

GCD(574, 618) = 354732 / 177366

GCD(574, 618) = 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

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 113

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

LCM(2, 113) = 226

GCD(2, 113) = ( 2 x 113 ) / 226

GCD(2, 113) = 226 / 226

GCD(2, 113) = 1

GCD of 574, 618, 300, 113 is 1

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• GCD of 864, 128, 110, 356
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1. What is the GCD of 574, 618, 300, 113?

GCD of 574, 618, 300, 113 is 1

2. Where do I get the detailed procedure to find GCD of 574, 618, 300, 113?

You can find a detailed procedure to find GCD of 574, 618, 300, 113 on our page.

3. How to find GCD of 574, 618, 300, 113 on a calculator?

You can find the GCD of 574, 618, 300, 113 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.