GCD of 920, 282, 896 Calculator

Given Input numbers are 920, 282, 896

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

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 282

List of positive integer divisors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

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

Greatest Common Divisior

We found the divisors of 920, 282, 896 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 920, 282, 896 is 2.

Therefore, GCD of numbers 920, 282, 896 is 2

Given Input Data is 920, 282, 896

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

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 282 is 2 x 3 x 47

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

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(920, 282) = 129720

GCD(920, 282) = ( 920 x 282 ) / 129720

GCD(920, 282) = 259440 / 129720

GCD(920, 282) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 896

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

LCM(2, 896) = 896

GCD(2, 896) = ( 2 x 896 ) / 896

GCD(2, 896) = 1792 / 896

GCD(2, 896) = 2

GCD of 920, 282, 896 is 2

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1. What is the GCD of 920, 282, 896?

GCD of 920, 282, 896 is 2

2. Where do I get the detailed procedure to find GCD of 920, 282, 896?

You can find a detailed procedure to find GCD of 920, 282, 896 on our page.

3. How to find GCD of 920, 282, 896 on a calculator?

You can find the GCD of 920, 282, 896 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.