GCD of 822, 800, 44, 396 Calculator

Given Input numbers are 822, 800, 44, 396

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 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 44 :

The positive integer divisors of 44 that completely divides 44 are.

1, 2, 4, 11, 22, 44

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

GCD of numbers is the greatest common divisor

So, the GCD (822, 800, 44, 396) = 2.

Given numbers are 822, 800, 44, 396

The list of prime factors of all numbers are

Prime factors of 822 are 2 x 3 x 137

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 44 are 2 x 2 x 11

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

The highest common occurrence is 2¹

Therefore, GCD of 822, 800, 44, 396 is 2.

Given numbers are 822, 800, 44, 396

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

Apply this formula for all numbers.

Step1:

LCM(822, 800) = 328800

GCD(822, 800) = ( 822 x 800 ) / 328800

= 822 / 800

= 822

Step2:

LCM(2, 44) = 44

GCD(2, 44) = ( 2 x 44 ) / 44

= 2 / 44

= 2

Step3:

LCM(2, 396) = 396

GCD(2, 396) = ( 2 x 396 ) / 396

= 2 / 396

= 2

So, Greatest Common Divisor of 822, 800, 44, 396 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 747, 684, 66, 822
• GCD of 734, 285, 24, 946
• GCD of 460, 452, 68, 853
• GCD of 803, 484, 11, 983
• GCD of 538, 624, 58, 495

Given numbers are 822, 800, 44, 396
The greatest common divisor of numbers 822, 800, 44, 396 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 822, 800, 44, 396 is 2.

1. What is the GCD of 822, 800, 44, 396?

GCD of given numbers 822, 800, 44, 396 is 2

2. How to calculate the greatest common divisor of 822, 800, 44, 396?

We can find the highest common divisor of 822, 800, 44, 396 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, 800, 44, 396 i.e 2.

3. How can I use the GCD of 822, 800, 44, 396Calculator?

Out the numbers 822, 800, 44, 396 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.