GCD of 159, 789, 990, 949 Calculator

Given Input numbers are 159, 789, 990, 949

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

Divisors of 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Divisors of 789

List of positive integer divisors of 789 that divides 789 without a remainder.

1, 3, 263, 789

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 949

List of positive integer divisors of 949 that divides 949 without a remainder.

1, 13, 73, 949

Greatest Common Divisior

We found the divisors of 159, 789, 990, 949 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 159, 789, 990, 949 is 1.

Therefore, GCD of numbers 159, 789, 990, 949 is 1

Given Input Data is 159, 789, 990, 949

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

Prime Factorization of 159 is 3 x 53

Prime Factorization of 789 is 3 x 263

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

Prime Factorization of 949 is 13 x 73

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(159, 789) = 41817

GCD(159, 789) = ( 159 x 789 ) / 41817

GCD(159, 789) = 125451 / 41817

GCD(159, 789) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 990

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

LCM(3, 990) = 990

GCD(3, 990) = ( 3 x 990 ) / 990

GCD(3, 990) = 2970 / 990

GCD(3, 990) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 949

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

LCM(3, 949) = 2847

GCD(3, 949) = ( 3 x 949 ) / 2847

GCD(3, 949) = 2847 / 2847

GCD(3, 949) = 1

GCD of 159, 789, 990, 949 is 1

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1. What is the GCD of 159, 789, 990, 949?

GCD of 159, 789, 990, 949 is 1

2. Where do I get the detailed procedure to find GCD of 159, 789, 990, 949?

You can find a detailed procedure to find GCD of 159, 789, 990, 949 on our page.

3. How to find GCD of 159, 789, 990, 949 on a calculator?

You can find the GCD of 159, 789, 990, 949 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.