GCD of 822, 828, 159, 336 Calculator

Given Input numbers are 822, 828, 159, 336

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 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 159 :

The positive integer divisors of 159 that completely divides 159 are.

1, 3, 53, 159

Divisors of 336 :

The positive integer divisors of 336 that completely divides 336 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

GCD of numbers is the greatest common divisor

So, the GCD (822, 828, 159, 336) = 3.

Given numbers are 822, 828, 159, 336

The list of prime factors of all numbers are

Prime factors of 822 are 2 x 3 x 137

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 159 are 3 x 53

Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7

The highest common occurrence is 3¹

Therefore, GCD of 822, 828, 159, 336 is 3.

Given numbers are 822, 828, 159, 336

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

Apply this formula for all numbers.

Step1:

LCM(822, 828) = 113436

GCD(822, 828) = ( 822 x 828 ) / 113436

= 822 / 828

= 822

Step2:

LCM(6, 159) = 318

GCD(6, 159) = ( 6 x 159 ) / 318

= 6 / 159

= 6

Step3:

LCM(3, 336) = 336

GCD(3, 336) = ( 3 x 336 ) / 336

= 3 / 336

= 3

So, Greatest Common Divisor of 822, 828, 159, 336 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 713, 538, 792, 788
• GCD of 827, 749, 100, 617
• GCD of 766, 946, 941, 566
• GCD of 389, 564, 539, 177
• GCD of 962, 540, 962, 450

Given numbers are 822, 828, 159, 336
The greatest common divisor of numbers 822, 828, 159, 336 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 822, 828, 159, 336 is 3.

1. What is the GCD of 822, 828, 159, 336?

GCD of given numbers 822, 828, 159, 336 is 3

2. How to calculate the greatest common divisor of 822, 828, 159, 336?

We can find the highest common divisor of 822, 828, 159, 336 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, 828, 159, 336 i.e 3.

3. How can I use the GCD of 822, 828, 159, 336Calculator?

Out the numbers 822, 828, 159, 336 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.