GCD of 491, 209, 894, 768 Calculator

Given Input numbers are 491, 209, 894, 768

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

Divisors of 491

List of positive integer divisors of 491 that divides 491 without a remainder.

1, 491

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

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 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Greatest Common Divisior

We found the divisors of 491, 209, 894, 768 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 491, 209, 894, 768 is 1.

Therefore, GCD of numbers 491, 209, 894, 768 is 1

Given Input Data is 491, 209, 894, 768

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

Prime Factorization of 491 is 491

Prime Factorization of 209 is 11 x 19

Prime Factorization of 894 is 2 x 3 x 149

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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(491, 209) = 102619

GCD(491, 209) = ( 491 x 209 ) / 102619

GCD(491, 209) = 102619 / 102619

GCD(491, 209) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 894

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

LCM(1, 894) = 894

GCD(1, 894) = ( 1 x 894 ) / 894

GCD(1, 894) = 894 / 894

GCD(1, 894) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 768

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

LCM(1, 768) = 768

GCD(1, 768) = ( 1 x 768 ) / 768

GCD(1, 768) = 768 / 768

GCD(1, 768) = 1

GCD of 491, 209, 894, 768 is 1

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1. What is the GCD of 491, 209, 894, 768?

GCD of 491, 209, 894, 768 is 1

2. Where do I get the detailed procedure to find GCD of 491, 209, 894, 768?

You can find a detailed procedure to find GCD of 491, 209, 894, 768 on our page.

3. How to find GCD of 491, 209, 894, 768 on a calculator?

You can find the GCD of 491, 209, 894, 768 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.