GCD of 382, 820, 45, 300 Calculator

Given Input numbers are 382, 820, 45, 300

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

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

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 382, 820, 45, 300 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 382, 820, 45, 300 is 1.

Therefore, GCD of numbers 382, 820, 45, 300 is 1

Given Input Data is 382, 820, 45, 300

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

Prime Factorization of 382 is 2 x 191

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 45 is 3 x 3 x 5

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(382, 820) = 156620

GCD(382, 820) = ( 382 x 820 ) / 156620

GCD(382, 820) = 313240 / 156620

GCD(382, 820) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 45

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

LCM(2, 45) = 90

GCD(2, 45) = ( 2 x 45 ) / 90

GCD(2, 45) = 90 / 90

GCD(2, 45) = 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 382, 820, 45, 300 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 739, 958, 49, 937
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• GCD of 780, 858, 81, 315

1. What is the GCD of 382, 820, 45, 300?

GCD of 382, 820, 45, 300 is 1

2. Where do I get the detailed procedure to find GCD of 382, 820, 45, 300?

You can find a detailed procedure to find GCD of 382, 820, 45, 300 on our page.

3. How to find GCD of 382, 820, 45, 300 on a calculator?

You can find the GCD of 382, 820, 45, 300 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.