GCD of 189, 791, 672, 990 Calculator

Given Input numbers are 189, 791, 672, 990

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

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 791

List of positive integer divisors of 791 that divides 791 without a remainder.

1, 7, 113, 791

Divisors of 672

List of positive integer divisors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

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

Greatest Common Divisior

We found the divisors of 189, 791, 672, 990 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 189, 791, 672, 990 is 1.

Therefore, GCD of numbers 189, 791, 672, 990 is 1

Given Input Data is 189, 791, 672, 990

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

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

Prime Factorization of 791 is 7 x 113

Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7

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

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(189, 791) = 21357

GCD(189, 791) = ( 189 x 791 ) / 21357

GCD(189, 791) = 149499 / 21357

GCD(189, 791) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 672

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

LCM(7, 672) = 672

GCD(7, 672) = ( 7 x 672 ) / 672

GCD(7, 672) = 4704 / 672

GCD(7, 672) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 990

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

LCM(7, 990) = 6930

GCD(7, 990) = ( 7 x 990 ) / 6930

GCD(7, 990) = 6930 / 6930

GCD(7, 990) = 1

GCD of 189, 791, 672, 990 is 1

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1. What is the GCD of 189, 791, 672, 990?

GCD of 189, 791, 672, 990 is 1

2. Where do I get the detailed procedure to find GCD of 189, 791, 672, 990?

You can find a detailed procedure to find GCD of 189, 791, 672, 990 on our page.

3. How to find GCD of 189, 791, 672, 990 on a calculator?

You can find the GCD of 189, 791, 672, 990 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.