GCD of 891, 996, 464 Calculator

Given Input numbers are 891, 996, 464

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

Divisors of 891

List of positive integer divisors of 891 that divides 891 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Greatest Common Divisior

We found the divisors of 891, 996, 464 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 891, 996, 464 is 1.

Therefore, GCD of numbers 891, 996, 464 is 1

Given Input Data is 891, 996, 464

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

Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11

Prime Factorization of 996 is 2 x 2 x 3 x 83

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

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(891, 996) = 295812

GCD(891, 996) = ( 891 x 996 ) / 295812

GCD(891, 996) = 887436 / 295812

GCD(891, 996) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 464

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

LCM(3, 464) = 1392

GCD(3, 464) = ( 3 x 464 ) / 1392

GCD(3, 464) = 1392 / 1392

GCD(3, 464) = 1

GCD of 891, 996, 464 is 1

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1. What is the GCD of 891, 996, 464?

GCD of 891, 996, 464 is 1

2. Where do I get the detailed procedure to find GCD of 891, 996, 464?

You can find a detailed procedure to find GCD of 891, 996, 464 on our page.

3. How to find GCD of 891, 996, 464 on a calculator?

You can find the GCD of 891, 996, 464 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.