GCD of 114, 923, 891, 933 Calculator

Given Input numbers are 114, 923, 891, 933

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

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 923

List of positive integer divisors of 923 that divides 923 without a remainder.

1, 13, 71, 923

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 933

List of positive integer divisors of 933 that divides 933 without a remainder.

1, 3, 311, 933

Greatest Common Divisior

We found the divisors of 114, 923, 891, 933 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 114, 923, 891, 933 is 1.

Therefore, GCD of numbers 114, 923, 891, 933 is 1

Given Input Data is 114, 923, 891, 933

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

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 923 is 13 x 71

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

Prime Factorization of 933 is 3 x 311

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(114, 923) = 105222

GCD(114, 923) = ( 114 x 923 ) / 105222

GCD(114, 923) = 105222 / 105222

GCD(114, 923) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 891

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

LCM(1, 891) = 891

GCD(1, 891) = ( 1 x 891 ) / 891

GCD(1, 891) = 891 / 891

GCD(1, 891) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 933

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

LCM(1, 933) = 933

GCD(1, 933) = ( 1 x 933 ) / 933

GCD(1, 933) = 933 / 933

GCD(1, 933) = 1

GCD of 114, 923, 891, 933 is 1

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1. What is the GCD of 114, 923, 891, 933?

GCD of 114, 923, 891, 933 is 1

2. Where do I get the detailed procedure to find GCD of 114, 923, 891, 933?

You can find a detailed procedure to find GCD of 114, 923, 891, 933 on our page.

3. How to find GCD of 114, 923, 891, 933 on a calculator?

You can find the GCD of 114, 923, 891, 933 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.