GCD of 300, 355, 324, 853 Calculator

Given Input numbers are 300, 355, 324, 853

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 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 853

List of positive integer divisors of 853 that divides 853 without a remainder.

1, 853

Greatest Common Divisior

We found the divisors of 300, 355, 324, 853 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 300, 355, 324, 853 is 1.

Therefore, GCD of numbers 300, 355, 324, 853 is 1

Given Input Data is 300, 355, 324, 853

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 355 is 5 x 71

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 853 is 853

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, 355) = 21300

GCD(300, 355) = ( 300 x 355 ) / 21300

GCD(300, 355) = 106500 / 21300

GCD(300, 355) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 324

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

LCM(5, 324) = 1620

GCD(5, 324) = ( 5 x 324 ) / 1620

GCD(5, 324) = 1620 / 1620

GCD(5, 324) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 853

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

LCM(1, 853) = 853

GCD(1, 853) = ( 1 x 853 ) / 853

GCD(1, 853) = 853 / 853

GCD(1, 853) = 1

GCD of 300, 355, 324, 853 is 1

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1. What is the GCD of 300, 355, 324, 853?

GCD of 300, 355, 324, 853 is 1

2. Where do I get the detailed procedure to find GCD of 300, 355, 324, 853?

You can find a detailed procedure to find GCD of 300, 355, 324, 853 on our page.

3. How to find GCD of 300, 355, 324, 853 on a calculator?

You can find the GCD of 300, 355, 324, 853 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.