GCD of 339, 300, 843, 324 Calculator

Given Input numbers are 339, 300, 843, 324

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

Divisors of 339

List of positive integer divisors of 339 that divides 339 without a remainder.

1, 3, 113, 339

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 843

List of positive integer divisors of 843 that divides 843 without a remainder.

1, 3, 281, 843

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

Greatest Common Divisior

We found the divisors of 339, 300, 843, 324 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 339, 300, 843, 324 is 3.

Therefore, GCD of numbers 339, 300, 843, 324 is 3

Given Input Data is 339, 300, 843, 324

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

Prime Factorization of 339 is 3 x 113

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

Prime Factorization of 843 is 3 x 281

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

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(339, 300) = 33900

GCD(339, 300) = ( 339 x 300 ) / 33900

GCD(339, 300) = 101700 / 33900

GCD(339, 300) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 843

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

LCM(3, 843) = 843

GCD(3, 843) = ( 3 x 843 ) / 843

GCD(3, 843) = 2529 / 843

GCD(3, 843) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 324

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

LCM(3, 324) = 324

GCD(3, 324) = ( 3 x 324 ) / 324

GCD(3, 324) = 972 / 324

GCD(3, 324) = 3

GCD of 339, 300, 843, 324 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 613, 952, 452, 184
• GCD of 876, 897, 572, 519
• GCD of 696, 895, 875, 750
• GCD of 672, 182, 831, 955
• GCD of 819, 722, 685, 762

1. What is the GCD of 339, 300, 843, 324?

GCD of 339, 300, 843, 324 is 3

2. Where do I get the detailed procedure to find GCD of 339, 300, 843, 324?

You can find a detailed procedure to find GCD of 339, 300, 843, 324 on our page.

3. How to find GCD of 339, 300, 843, 324 on a calculator?

You can find the GCD of 339, 300, 843, 324 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.