GCD of 872, 540, 92, 828 Calculator

Given Input numbers are 872, 540, 92, 828

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

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

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 92

List of positive integer divisors of 92 that divides 92 without a remainder.

1, 2, 4, 23, 46, 92

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Greatest Common Divisior

We found the divisors of 872, 540, 92, 828 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 872, 540, 92, 828 is 4.

Therefore, GCD of numbers 872, 540, 92, 828 is 4

Given Input Data is 872, 540, 92, 828

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

Prime Factorization of 872 is 2 x 2 x 2 x 109

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

Prime Factorization of 92 is 2 x 2 x 23

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

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(872, 540) = 117720

GCD(872, 540) = ( 872 x 540 ) / 117720

GCD(872, 540) = 470880 / 117720

GCD(872, 540) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 92

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

LCM(4, 92) = 92

GCD(4, 92) = ( 4 x 92 ) / 92

GCD(4, 92) = 368 / 92

GCD(4, 92) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 828

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

LCM(4, 828) = 828

GCD(4, 828) = ( 4 x 828 ) / 828

GCD(4, 828) = 3312 / 828

GCD(4, 828) = 4

GCD of 872, 540, 92, 828 is 4

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1. What is the GCD of 872, 540, 92, 828?

GCD of 872, 540, 92, 828 is 4

2. Where do I get the detailed procedure to find GCD of 872, 540, 92, 828?

You can find a detailed procedure to find GCD of 872, 540, 92, 828 on our page.

3. How to find GCD of 872, 540, 92, 828 on a calculator?

You can find the GCD of 872, 540, 92, 828 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.