GCD of 368, 584, 540 Calculator

Given Input numbers are 368, 584, 540

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

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

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 368, 584, 540 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 368, 584, 540 is 4.

Therefore, GCD of numbers 368, 584, 540 is 4

Given Input Data is 368, 584, 540

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

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

Prime Factorization of 584 is 2 x 2 x 2 x 73

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

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(368, 584) = 26864

GCD(368, 584) = ( 368 x 584 ) / 26864

GCD(368, 584) = 214912 / 26864

GCD(368, 584) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 540

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

LCM(8, 540) = 1080

GCD(8, 540) = ( 8 x 540 ) / 1080

GCD(8, 540) = 4320 / 1080

GCD(8, 540) = 4

GCD of 368, 584, 540 is 4

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1. What is the GCD of 368, 584, 540?

GCD of 368, 584, 540 is 4

2. Where do I get the detailed procedure to find GCD of 368, 584, 540?

You can find a detailed procedure to find GCD of 368, 584, 540 on our page.

3. How to find GCD of 368, 584, 540 on a calculator?

You can find the GCD of 368, 584, 540 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.