GCD of 23, 841, 990, 114 Calculator

Given Input numbers are 23, 841, 990, 114

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

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 841

List of positive integer divisors of 841 that divides 841 without a remainder.

1, 29, 841

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 114

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

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

Greatest Common Divisior

We found the divisors of 23, 841, 990, 114 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 23, 841, 990, 114 is 1.

Therefore, GCD of numbers 23, 841, 990, 114 is 1

Given Input Data is 23, 841, 990, 114

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

Prime Factorization of 23 is 23

Prime Factorization of 841 is 29 x 29

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

Prime Factorization of 114 is 2 x 3 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(23, 841) = 19343

GCD(23, 841) = ( 23 x 841 ) / 19343

GCD(23, 841) = 19343 / 19343

GCD(23, 841) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 990

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

LCM(1, 990) = 990

GCD(1, 990) = ( 1 x 990 ) / 990

GCD(1, 990) = 990 / 990

GCD(1, 990) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 114

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

LCM(1, 114) = 114

GCD(1, 114) = ( 1 x 114 ) / 114

GCD(1, 114) = 114 / 114

GCD(1, 114) = 1

GCD of 23, 841, 990, 114 is 1

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1. What is the GCD of 23, 841, 990, 114?

GCD of 23, 841, 990, 114 is 1

2. Where do I get the detailed procedure to find GCD of 23, 841, 990, 114?

You can find a detailed procedure to find GCD of 23, 841, 990, 114 on our page.

3. How to find GCD of 23, 841, 990, 114 on a calculator?

You can find the GCD of 23, 841, 990, 114 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.