GCD of 408, 336, 879 Calculator

Given Input numbers are 408, 336, 879

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

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

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 879 :

The positive integer divisors of 879 that completely divides 879 are.

1, 3, 293, 879

GCD of numbers is the greatest common divisor

So, the GCD (408, 336, 879) = 3.

Given numbers are 408, 336, 879

The list of prime factors of all numbers are

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

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

Prime factors of 879 are 3 x 293

The highest common occurrence is 3¹

Therefore, GCD of 408, 336, 879 is 3.

Given numbers are 408, 336, 879

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

Apply this formula for all numbers.

Step1:

LCM(408, 336) = 5712

GCD(408, 336) = ( 408 x 336 ) / 5712

= 408 / 336

= 408

Step2:

LCM(24, 879) = 7032

GCD(24, 879) = ( 24 x 879 ) / 7032

= 24 / 879

= 24

So, Greatest Common Divisor of 408, 336, 879 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 402, 205, 508
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Given numbers are 408, 336, 879
The greatest common divisor of numbers 408, 336, 879 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 408, 336, 879 is 3.

1. What is the GCD of 408, 336, 879?

GCD of given numbers 408, 336, 879 is 3

2. How to calculate the greatest common divisor of 408, 336, 879?

We can find the highest common divisor of 408, 336, 879 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 408, 336, 879 i.e 3.

3. How can I use the GCD of 408, 336, 879Calculator?

Out the numbers 408, 336, 879 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.