GCD of 540, 728, 670 Calculator

Given Input numbers are 540, 728, 670

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

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 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 670

List of positive integer divisors of 670 that divides 670 without a remainder.

1, 2, 5, 10, 67, 134, 335, 670

Greatest Common Divisior

We found the divisors of 540, 728, 670 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 540, 728, 670 is 2.

Therefore, GCD of numbers 540, 728, 670 is 2

Given Input Data is 540, 728, 670

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

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

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 670 is 2 x 5 x 67

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(540, 728) = 98280

GCD(540, 728) = ( 540 x 728 ) / 98280

GCD(540, 728) = 393120 / 98280

GCD(540, 728) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 670

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

LCM(4, 670) = 1340

GCD(4, 670) = ( 4 x 670 ) / 1340

GCD(4, 670) = 2680 / 1340

GCD(4, 670) = 2

GCD of 540, 728, 670 is 2

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1. What is the GCD of 540, 728, 670?

GCD of 540, 728, 670 is 2

2. Where do I get the detailed procedure to find GCD of 540, 728, 670?

You can find a detailed procedure to find GCD of 540, 728, 670 on our page.

3. How to find GCD of 540, 728, 670 on a calculator?

You can find the GCD of 540, 728, 670 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.