GCD of 904, 456, 792, 966 Calculator

Given Input numbers are 904, 456, 792, 966

In the factoring method, we have to find the divisors of all numbers

Divisors of 904 :

The positive integer divisors of 904 that completely divides 904 are.

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

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 792 :

The positive integer divisors of 792 that completely divides 792 are.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (904, 456, 792, 966) = 2.

Given numbers are 904, 456, 792, 966

The list of prime factors of all numbers are

Prime factors of 904 are 2 x 2 x 2 x 113

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11

Prime factors of 966 are 2 x 3 x 7 x 23

The highest common occurrence is 2¹

Therefore, GCD of 904, 456, 792, 966 is 2.

Given numbers are 904, 456, 792, 966

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(904, 456) = 51528

GCD(904, 456) = ( 904 x 456 ) / 51528

= 904 / 456

= 904

Step2:

LCM(8, 792) = 792

GCD(8, 792) = ( 8 x 792 ) / 792

= 8 / 792

= 8

Step3:

LCM(8, 966) = 3864

GCD(8, 966) = ( 8 x 966 ) / 3864

= 8 / 966

= 8

So, Greatest Common Divisor of 904, 456, 792, 966 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 258, 859, 276, 615
• GCD of 432, 553, 218, 475
• GCD of 878, 850, 583, 384
• GCD of 657, 528, 277, 910
• GCD of 752, 556, 422, 279

Given numbers are 904, 456, 792, 966
The greatest common divisor of numbers 904, 456, 792, 966 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 904, 456, 792, 966 is 2.

1. What is the GCD of 904, 456, 792, 966?

GCD of given numbers 904, 456, 792, 966 is 2

2. How to calculate the greatest common divisor of 904, 456, 792, 966?

We can find the highest common divisor of 904, 456, 792, 966 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 904, 456, 792, 966 i.e 2.

3. How can I use the GCD of 904, 456, 792, 966Calculator?

Out the numbers 904, 456, 792, 966 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.