GCD of 108, 867, 894, 312 Calculator

Given Input numbers are 108, 867, 894, 312

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

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 867 :

The positive integer divisors of 867 that completely divides 867 are.

1, 3, 17, 51, 289, 867

Divisors of 894 :

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

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

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

GCD of numbers is the greatest common divisor

So, the GCD (108, 867, 894, 312) = 3.

Given numbers are 108, 867, 894, 312

The list of prime factors of all numbers are

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

Prime factors of 867 are 3 x 17 x 17

Prime factors of 894 are 2 x 3 x 149

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

The highest common occurrence is 3¹

Therefore, GCD of 108, 867, 894, 312 is 3.

Given numbers are 108, 867, 894, 312

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

Apply this formula for all numbers.

Step1:

LCM(108, 867) = 31212

GCD(108, 867) = ( 108 x 867 ) / 31212

= 108 / 867

= 108

Step2:

LCM(3, 894) = 894

GCD(3, 894) = ( 3 x 894 ) / 894

= 3 / 894

= 3

Step3:

LCM(3, 312) = 312

GCD(3, 312) = ( 3 x 312 ) / 312

= 3 / 312

= 3

So, Greatest Common Divisor of 108, 867, 894, 312 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 125, 573, 709, 116
• GCD of 602, 210, 677, 246
• GCD of 598, 335, 833, 407
• GCD of 225, 879, 720, 829
• GCD of 486, 821, 237, 717

Given numbers are 108, 867, 894, 312
The greatest common divisor of numbers 108, 867, 894, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 867, 894, 312 is 3.

1. What is the GCD of 108, 867, 894, 312?

GCD of given numbers 108, 867, 894, 312 is 3

2. How to calculate the greatest common divisor of 108, 867, 894, 312?

We can find the highest common divisor of 108, 867, 894, 312 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 108, 867, 894, 312 i.e 3.

3. How can I use the GCD of 108, 867, 894, 312Calculator?

Out the numbers 108, 867, 894, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.