GCD of 891, 723, 32, 608 Calculator

Given Input numbers are 891, 723, 32, 608

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 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 608

List of positive integer divisors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Greatest Common Divisior

We found the divisors of 891, 723, 32, 608 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 891, 723, 32, 608 is 1.

Therefore, GCD of numbers 891, 723, 32, 608 is 1

Given Input Data is 891, 723, 32, 608

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 723 is 3 x 241

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19

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, 723) = 214731

GCD(891, 723) = ( 891 x 723 ) / 214731

GCD(891, 723) = 644193 / 214731

GCD(891, 723) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 32

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

LCM(3, 32) = 96

GCD(3, 32) = ( 3 x 32 ) / 96

GCD(3, 32) = 96 / 96

GCD(3, 32) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 608

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

LCM(1, 608) = 608

GCD(1, 608) = ( 1 x 608 ) / 608

GCD(1, 608) = 608 / 608

GCD(1, 608) = 1

GCD of 891, 723, 32, 608 is 1

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1. What is the GCD of 891, 723, 32, 608?

GCD of 891, 723, 32, 608 is 1

2. Where do I get the detailed procedure to find GCD of 891, 723, 32, 608?

You can find a detailed procedure to find GCD of 891, 723, 32, 608 on our page.

3. How to find GCD of 891, 723, 32, 608 on a calculator?

You can find the GCD of 891, 723, 32, 608 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.