GCD of 328, 540, 868, 784 Calculator

Given Input numbers are 328, 540, 868, 784

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

Divisors of 328

List of positive integer divisors of 328 that divides 328 without a remainder.

1, 2, 4, 8, 41, 82, 164, 328

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 868

List of positive integer divisors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Greatest Common Divisior

We found the divisors of 328, 540, 868, 784 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 328, 540, 868, 784 is 4.

Therefore, GCD of numbers 328, 540, 868, 784 is 4

Given Input Data is 328, 540, 868, 784

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

Prime Factorization of 328 is 2 x 2 x 2 x 41

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

Prime Factorization of 868 is 2 x 2 x 7 x 31

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

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(328, 540) = 44280

GCD(328, 540) = ( 328 x 540 ) / 44280

GCD(328, 540) = 177120 / 44280

GCD(328, 540) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 868

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

LCM(4, 868) = 868

GCD(4, 868) = ( 4 x 868 ) / 868

GCD(4, 868) = 3472 / 868

GCD(4, 868) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 784

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

LCM(4, 784) = 784

GCD(4, 784) = ( 4 x 784 ) / 784

GCD(4, 784) = 3136 / 784

GCD(4, 784) = 4

GCD of 328, 540, 868, 784 is 4

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1. What is the GCD of 328, 540, 868, 784?

GCD of 328, 540, 868, 784 is 4

2. Where do I get the detailed procedure to find GCD of 328, 540, 868, 784?

You can find a detailed procedure to find GCD of 328, 540, 868, 784 on our page.

3. How to find GCD of 328, 540, 868, 784 on a calculator?

You can find the GCD of 328, 540, 868, 784 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.