GCD of 864, 336, 846 Calculator

Given Input numbers are 864, 336, 846

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

Divisors of 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

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

Divisors of 846 :

The positive integer divisors of 846 that completely divides 846 are.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

GCD of numbers is the greatest common divisor

So, the GCD (864, 336, 846) = 6.

Given numbers are 864, 336, 846

The list of prime factors of all numbers are

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

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

Prime factors of 846 are 2 x 3 x 3 x 47

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 864, 336, 846 is 6.

Given numbers are 864, 336, 846

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

Apply this formula for all numbers.

Step1:

LCM(864, 336) = 6048

GCD(864, 336) = ( 864 x 336 ) / 6048

= 864 / 336

= 864

Step2:

LCM(48, 846) = 6768

GCD(48, 846) = ( 48 x 846 ) / 6768

= 48 / 846

= 48

So, Greatest Common Divisor of 864, 336, 846 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 272, 631, 393
• GCD of 582, 528, 105
• GCD of 999, 312, 532
• GCD of 596, 901, 438
• GCD of 956, 473, 960

Given numbers are 864, 336, 846
The greatest common divisor of numbers 864, 336, 846 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 864, 336, 846 is 6.

1. What is the GCD of 864, 336, 846?

GCD of given numbers 864, 336, 846 is 6

2. How to calculate the greatest common divisor of 864, 336, 846?

We can find the highest common divisor of 864, 336, 846 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 864, 336, 846 i.e 6.

3. How can I use the GCD of 864, 336, 846Calculator?

Out the numbers 864, 336, 846 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.