GCD of 879, 966, 44, 904 Calculator

Given Input numbers are 879, 966, 44, 904

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

Divisors of 879

List of positive integer divisors of 879 that divides 879 without a remainder.

1, 3, 293, 879

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

Divisors of 904

List of positive integer divisors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

Greatest Common Divisior

We found the divisors of 879, 966, 44, 904 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 879, 966, 44, 904 is 1.

Therefore, GCD of numbers 879, 966, 44, 904 is 1

Given Input Data is 879, 966, 44, 904

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

Prime Factorization of 879 is 3 x 293

Prime Factorization of 966 is 2 x 3 x 7 x 23

Prime Factorization of 44 is 2 x 2 x 11

Prime Factorization of 904 is 2 x 2 x 2 x 113

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(879, 966) = 283038

GCD(879, 966) = ( 879 x 966 ) / 283038

GCD(879, 966) = 849114 / 283038

GCD(879, 966) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 44

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

LCM(3, 44) = 132

GCD(3, 44) = ( 3 x 44 ) / 132

GCD(3, 44) = 132 / 132

GCD(3, 44) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 904

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

LCM(1, 904) = 904

GCD(1, 904) = ( 1 x 904 ) / 904

GCD(1, 904) = 904 / 904

GCD(1, 904) = 1

GCD of 879, 966, 44, 904 is 1

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1. What is the GCD of 879, 966, 44, 904?

GCD of 879, 966, 44, 904 is 1

2. Where do I get the detailed procedure to find GCD of 879, 966, 44, 904?

You can find a detailed procedure to find GCD of 879, 966, 44, 904 on our page.

3. How to find GCD of 879, 966, 44, 904 on a calculator?

You can find the GCD of 879, 966, 44, 904 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.