GCD of 896, 284, 180 Calculator

Given Input numbers are 896, 284, 180

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

Divisors of 896

List of positive integer divisors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Greatest Common Divisior

We found the divisors of 896, 284, 180 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 896, 284, 180 is 4.

Therefore, GCD of numbers 896, 284, 180 is 4

Given Input Data is 896, 284, 180

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

Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 284 is 2 x 2 x 71

Prime Factorization of 180 is 2 x 2 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(896, 284) = 63616

GCD(896, 284) = ( 896 x 284 ) / 63616

GCD(896, 284) = 254464 / 63616

GCD(896, 284) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 180

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

LCM(4, 180) = 180

GCD(4, 180) = ( 4 x 180 ) / 180

GCD(4, 180) = 720 / 180

GCD(4, 180) = 4

GCD of 896, 284, 180 is 4

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1. What is the GCD of 896, 284, 180?

GCD of 896, 284, 180 is 4

2. Where do I get the detailed procedure to find GCD of 896, 284, 180?

You can find a detailed procedure to find GCD of 896, 284, 180 on our page.

3. How to find GCD of 896, 284, 180 on a calculator?

You can find the GCD of 896, 284, 180 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.