GCD of 822, 342, 384, 446 Calculator

Given Input numbers are 822, 342, 384, 446

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 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 446 :

The positive integer divisors of 446 that completely divides 446 are.

1, 2, 223, 446

GCD of numbers is the greatest common divisor

So, the GCD (822, 342, 384, 446) = 2.

Given numbers are 822, 342, 384, 446

The list of prime factors of all numbers are

Prime factors of 822 are 2 x 3 x 137

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 446 are 2 x 223

The highest common occurrence is 2¹

Therefore, GCD of 822, 342, 384, 446 is 2.

Given numbers are 822, 342, 384, 446

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

Apply this formula for all numbers.

Step1:

LCM(822, 342) = 46854

GCD(822, 342) = ( 822 x 342 ) / 46854

= 822 / 342

= 822

Step2:

LCM(6, 384) = 384

GCD(6, 384) = ( 6 x 384 ) / 384

= 6 / 384

= 6

Step3:

LCM(6, 446) = 1338

GCD(6, 446) = ( 6 x 446 ) / 1338

= 6 / 446

= 6

So, Greatest Common Divisor of 822, 342, 384, 446 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 370, 519, 601, 409
• GCD of 608, 806, 761, 349
• GCD of 664, 796, 617, 132
• GCD of 244, 103, 292, 627
• GCD of 520, 451, 850, 132

Given numbers are 822, 342, 384, 446
The greatest common divisor of numbers 822, 342, 384, 446 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 822, 342, 384, 446 is 2.

1. What is the GCD of 822, 342, 384, 446?

GCD of given numbers 822, 342, 384, 446 is 2

2. How to calculate the greatest common divisor of 822, 342, 384, 446?

We can find the highest common divisor of 822, 342, 384, 446 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, 342, 384, 446 i.e 2.

3. How can I use the GCD of 822, 342, 384, 446Calculator?

Out the numbers 822, 342, 384, 446 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.