GCD of 878, 540, 28, 796 Calculator

Given Input numbers are 878, 540, 28, 796

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

Divisors of 878

List of positive integer divisors of 878 that divides 878 without a remainder.

1, 2, 439, 878

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 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Greatest Common Divisior

We found the divisors of 878, 540, 28, 796 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 878, 540, 28, 796 is 2.

Therefore, GCD of numbers 878, 540, 28, 796 is 2

Given Input Data is 878, 540, 28, 796

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

Prime Factorization of 878 is 2 x 439

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

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 796 is 2 x 2 x 199

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(878, 540) = 237060

GCD(878, 540) = ( 878 x 540 ) / 237060

GCD(878, 540) = 474120 / 237060

GCD(878, 540) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 28

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

LCM(2, 28) = 28

GCD(2, 28) = ( 2 x 28 ) / 28

GCD(2, 28) = 56 / 28

GCD(2, 28) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 796

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

LCM(2, 796) = 796

GCD(2, 796) = ( 2 x 796 ) / 796

GCD(2, 796) = 1592 / 796

GCD(2, 796) = 2

GCD of 878, 540, 28, 796 is 2

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1. What is the GCD of 878, 540, 28, 796?

GCD of 878, 540, 28, 796 is 2

2. Where do I get the detailed procedure to find GCD of 878, 540, 28, 796?

You can find a detailed procedure to find GCD of 878, 540, 28, 796 on our page.

3. How to find GCD of 878, 540, 28, 796 on a calculator?

You can find the GCD of 878, 540, 28, 796 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.