GCD of 994, 189, 23, 901 Calculator

Given Input numbers are 994, 189, 23, 901

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

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 23

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

1, 23

Divisors of 901

List of positive integer divisors of 901 that divides 901 without a remainder.

1, 17, 53, 901

Greatest Common Divisior

We found the divisors of 994, 189, 23, 901 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 994, 189, 23, 901 is 1.

Therefore, GCD of numbers 994, 189, 23, 901 is 1

Given Input Data is 994, 189, 23, 901

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

Prime Factorization of 994 is 2 x 7 x 71

Prime Factorization of 189 is 3 x 3 x 3 x 7

Prime Factorization of 23 is 23

Prime Factorization of 901 is 17 x 53

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(994, 189) = 26838

GCD(994, 189) = ( 994 x 189 ) / 26838

GCD(994, 189) = 187866 / 26838

GCD(994, 189) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 23

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

LCM(7, 23) = 161

GCD(7, 23) = ( 7 x 23 ) / 161

GCD(7, 23) = 161 / 161

GCD(7, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 901

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

LCM(1, 901) = 901

GCD(1, 901) = ( 1 x 901 ) / 901

GCD(1, 901) = 901 / 901

GCD(1, 901) = 1

GCD of 994, 189, 23, 901 is 1

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1. What is the GCD of 994, 189, 23, 901?

GCD of 994, 189, 23, 901 is 1

2. Where do I get the detailed procedure to find GCD of 994, 189, 23, 901?

You can find a detailed procedure to find GCD of 994, 189, 23, 901 on our page.

3. How to find GCD of 994, 189, 23, 901 on a calculator?

You can find the GCD of 994, 189, 23, 901 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.