GCD of 999, 946, 34, 189 Calculator

Given Input numbers are 999, 946, 34, 189

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

Divisors of 999

List of positive integer divisors of 999 that divides 999 without a remainder.

1, 3, 9, 27, 37, 111, 333, 999

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 189

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

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

Greatest Common Divisior

We found the divisors of 999, 946, 34, 189 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 999, 946, 34, 189 is 1.

Therefore, GCD of numbers 999, 946, 34, 189 is 1

Given Input Data is 999, 946, 34, 189

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

Prime Factorization of 999 is 3 x 3 x 3 x 37

Prime Factorization of 946 is 2 x 11 x 43

Prime Factorization of 34 is 2 x 17

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

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(999, 946) = 945054

GCD(999, 946) = ( 999 x 946 ) / 945054

GCD(999, 946) = 945054 / 945054

GCD(999, 946) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 34

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

LCM(1, 34) = 34

GCD(1, 34) = ( 1 x 34 ) / 34

GCD(1, 34) = 34 / 34

GCD(1, 34) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 189

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

LCM(1, 189) = 189

GCD(1, 189) = ( 1 x 189 ) / 189

GCD(1, 189) = 189 / 189

GCD(1, 189) = 1

GCD of 999, 946, 34, 189 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 501, 788, 48, 268
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• GCD of 530, 846, 97, 661

1. What is the GCD of 999, 946, 34, 189?

GCD of 999, 946, 34, 189 is 1

2. Where do I get the detailed procedure to find GCD of 999, 946, 34, 189?

You can find a detailed procedure to find GCD of 999, 946, 34, 189 on our page.

3. How to find GCD of 999, 946, 34, 189 on a calculator?

You can find the GCD of 999, 946, 34, 189 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.