GCD of 822, 230, 804, 966 Calculator

Given Input numbers are 822, 230, 804, 966

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

Divisors of 822 :

The positive integer divisors of 822 that completely divides 822 are.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 230 :

The positive integer divisors of 230 that completely divides 230 are.

1, 2, 5, 10, 23, 46, 115, 230

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

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 (822, 230, 804, 966) = 2.

Given numbers are 822, 230, 804, 966

The list of prime factors of all numbers are

Prime factors of 822 are 2 x 3 x 137

Prime factors of 230 are 2 x 5 x 23

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

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

The highest common occurrence is 2¹

Therefore, GCD of 822, 230, 804, 966 is 2.

Given numbers are 822, 230, 804, 966

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

Apply this formula for all numbers.

Step1:

LCM(822, 230) = 94530

GCD(822, 230) = ( 822 x 230 ) / 94530

= 822 / 230

= 822

Step2:

LCM(2, 804) = 804

GCD(2, 804) = ( 2 x 804 ) / 804

= 2 / 804

= 2

Step3:

LCM(2, 966) = 966

GCD(2, 966) = ( 2 x 966 ) / 966

= 2 / 966

= 2

So, Greatest Common Divisor of 822, 230, 804, 966 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 186, 837, 198, 904
• GCD of 795, 847, 677, 959
• GCD of 901, 203, 301, 495
• GCD of 392, 319, 399, 347
• GCD of 481, 874, 487, 684

Given numbers are 822, 230, 804, 966
The greatest common divisor of numbers 822, 230, 804, 966 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 822, 230, 804, 966 is 2.

1. What is the GCD of 822, 230, 804, 966?

GCD of given numbers 822, 230, 804, 966 is 2

2. How to calculate the greatest common divisor of 822, 230, 804, 966?

We can find the highest common divisor of 822, 230, 804, 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 822, 230, 804, 966 i.e 2.

3. How can I use the GCD of 822, 230, 804, 966Calculator?

Out the numbers 822, 230, 804, 966 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.