GCD of 966, 279, 804 Calculator

Given Input numbers are 966, 279, 804

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

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

Divisors of 279 :

The positive integer divisors of 279 that completely divides 279 are.

1, 3, 9, 31, 93, 279

Divisors of 804 :

The positive integer divisors of 804 that completely divides 804 are.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

GCD of numbers is the greatest common divisor

So, the GCD (966, 279, 804) = 3.

Given numbers are 966, 279, 804

The list of prime factors of all numbers are

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

Prime factors of 279 are 3 x 3 x 31

Prime factors of 804 are 2 x 2 x 3 x 67

The highest common occurrence is 3¹

Therefore, GCD of 966, 279, 804 is 3.

Given numbers are 966, 279, 804

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

Apply this formula for all numbers.

Step1:

LCM(966, 279) = 89838

GCD(966, 279) = ( 966 x 279 ) / 89838

= 966 / 279

= 966

Step2:

LCM(3, 804) = 804

GCD(3, 804) = ( 3 x 804 ) / 804

= 3 / 804

= 3

So, Greatest Common Divisor of 966, 279, 804 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 574, 560, 546
• GCD of 652, 555, 780
• GCD of 614, 511, 808
• GCD of 975, 795, 148
• GCD of 124, 297, 138

Given numbers are 966, 279, 804
The greatest common divisor of numbers 966, 279, 804 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 966, 279, 804 is 3.

1. What is the GCD of 966, 279, 804?

GCD of given numbers 966, 279, 804 is 3

2. How to calculate the greatest common divisor of 966, 279, 804?

We can find the highest common divisor of 966, 279, 804 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 966, 279, 804 i.e 3.

3. How can I use the GCD of 966, 279, 804Calculator?

Out the numbers 966, 279, 804 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.