GCD of 573, 540, 312 Calculator

Given Input numbers are 573, 540, 312

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

Divisors of 573

List of positive integer divisors of 573 that divides 573 without a remainder.

1, 3, 191, 573

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

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Greatest Common Divisior

We found the divisors of 573, 540, 312 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 573, 540, 312 is 3.

Therefore, GCD of numbers 573, 540, 312 is 3

Given Input Data is 573, 540, 312

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

Prime Factorization of 573 is 3 x 191

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

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

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(573, 540) = 103140

GCD(573, 540) = ( 573 x 540 ) / 103140

GCD(573, 540) = 309420 / 103140

GCD(573, 540) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 312

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

LCM(3, 312) = 312

GCD(3, 312) = ( 3 x 312 ) / 312

GCD(3, 312) = 936 / 312

GCD(3, 312) = 3

GCD of 573, 540, 312 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 100, 402, 969
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• GCD of 313, 700, 641
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1. What is the GCD of 573, 540, 312?

GCD of 573, 540, 312 is 3

2. Where do I get the detailed procedure to find GCD of 573, 540, 312?

You can find a detailed procedure to find GCD of 573, 540, 312 on our page.

3. How to find GCD of 573, 540, 312 on a calculator?

You can find the GCD of 573, 540, 312 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.