GCD of 843, 873, 540 Calculator

Given Input numbers are 843, 873, 540

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

Divisors of 843

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

1, 3, 281, 843

Divisors of 873

List of positive integer divisors of 873 that divides 873 without a remainder.

1, 3, 9, 97, 291, 873

Divisors of 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Greatest Common Divisior

We found the divisors of 843, 873, 540 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 843, 873, 540 is 3.

Therefore, GCD of numbers 843, 873, 540 is 3

Given Input Data is 843, 873, 540

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

Prime Factorization of 843 is 3 x 281

Prime Factorization of 873 is 3 x 3 x 97

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

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(843, 873) = 245313

GCD(843, 873) = ( 843 x 873 ) / 245313

GCD(843, 873) = 735939 / 245313

GCD(843, 873) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 540

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

LCM(3, 540) = 540

GCD(3, 540) = ( 3 x 540 ) / 540

GCD(3, 540) = 1620 / 540

GCD(3, 540) = 3

GCD of 843, 873, 540 is 3

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1. What is the GCD of 843, 873, 540?

GCD of 843, 873, 540 is 3

2. Where do I get the detailed procedure to find GCD of 843, 873, 540?

You can find a detailed procedure to find GCD of 843, 873, 540 on our page.

3. How to find GCD of 843, 873, 540 on a calculator?

You can find the GCD of 843, 873, 540 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.