GCD of 894, 896, 299, 180 Calculator

Given Input numbers are 894, 896, 299, 180

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

Divisors of 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

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 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

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 894, 896, 299, 180 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 894, 896, 299, 180 is 1.

Therefore, GCD of numbers 894, 896, 299, 180 is 1

Given Input Data is 894, 896, 299, 180

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

Prime Factorization of 894 is 2 x 3 x 149

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

Prime Factorization of 299 is 13 x 23

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

The above numbers do not have any common prime factor. So GCD is 1

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(894, 896) = 400512

GCD(894, 896) = ( 894 x 896 ) / 400512

GCD(894, 896) = 801024 / 400512

GCD(894, 896) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 299

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

LCM(2, 299) = 598

GCD(2, 299) = ( 2 x 299 ) / 598

GCD(2, 299) = 598 / 598

GCD(2, 299) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 180

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

LCM(1, 180) = 180

GCD(1, 180) = ( 1 x 180 ) / 180

GCD(1, 180) = 180 / 180

GCD(1, 180) = 1

GCD of 894, 896, 299, 180 is 1

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1. What is the GCD of 894, 896, 299, 180?

GCD of 894, 896, 299, 180 is 1

2. Where do I get the detailed procedure to find GCD of 894, 896, 299, 180?

You can find a detailed procedure to find GCD of 894, 896, 299, 180 on our page.

3. How to find GCD of 894, 896, 299, 180 on a calculator?

You can find the GCD of 894, 896, 299, 180 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.