GCD of 894, 444, 108, 872 Calculator

Given Input numbers are 894, 444, 108, 872

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

Divisors of 894 :

The positive integer divisors of 894 that completely divides 894 are.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 444 :

The positive integer divisors of 444 that completely divides 444 are.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

GCD of numbers is the greatest common divisor

So, the GCD (894, 444, 108, 872) = 2.

Given numbers are 894, 444, 108, 872

The list of prime factors of all numbers are

Prime factors of 894 are 2 x 3 x 149

Prime factors of 444 are 2 x 2 x 3 x 37

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 872 are 2 x 2 x 2 x 109

The highest common occurrence is 2¹

Therefore, GCD of 894, 444, 108, 872 is 2.

Given numbers are 894, 444, 108, 872

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

Apply this formula for all numbers.

Step1:

LCM(894, 444) = 66156

GCD(894, 444) = ( 894 x 444 ) / 66156

= 894 / 444

= 894

Step2:

LCM(6, 108) = 108

GCD(6, 108) = ( 6 x 108 ) / 108

= 6 / 108

= 6

Step3:

LCM(6, 872) = 2616

GCD(6, 872) = ( 6 x 872 ) / 2616

= 6 / 872

= 6

So, Greatest Common Divisor of 894, 444, 108, 872 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 507, 453, 376, 581
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Given numbers are 894, 444, 108, 872
The greatest common divisor of numbers 894, 444, 108, 872 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 894, 444, 108, 872 is 2.

1. What is the GCD of 894, 444, 108, 872?

GCD of given numbers 894, 444, 108, 872 is 2

2. How to calculate the greatest common divisor of 894, 444, 108, 872?

We can find the highest common divisor of 894, 444, 108, 872 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 894, 444, 108, 872 i.e 2.

3. How can I use the GCD of 894, 444, 108, 872Calculator?

Out the numbers 894, 444, 108, 872 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.