GCD of 108, 912, 186, 584 Calculator

Given Input numbers are 108, 912, 186, 584

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 912 :

The positive integer divisors of 912 that completely divides 912 are.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 186 :

The positive integer divisors of 186 that completely divides 186 are.

1, 2, 3, 6, 31, 62, 93, 186

Divisors of 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

GCD of numbers is the greatest common divisor

So, the GCD (108, 912, 186, 584) = 2.

Given numbers are 108, 912, 186, 584

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 912 are 2 x 2 x 2 x 2 x 3 x 19

Prime factors of 186 are 2 x 3 x 31

Prime factors of 584 are 2 x 2 x 2 x 73

The highest common occurrence is 2¹

Therefore, GCD of 108, 912, 186, 584 is 2.

Given numbers are 108, 912, 186, 584

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

Apply this formula for all numbers.

Step1:

LCM(108, 912) = 8208

GCD(108, 912) = ( 108 x 912 ) / 8208

= 108 / 912

= 108

Step2:

LCM(12, 186) = 372

GCD(12, 186) = ( 12 x 186 ) / 372

= 12 / 186

= 12

Step3:

LCM(6, 584) = 1752

GCD(6, 584) = ( 6 x 584 ) / 1752

= 6 / 584

= 6

So, Greatest Common Divisor of 108, 912, 186, 584 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 877, 411, 178, 140
• GCD of 946, 904, 333, 260
• GCD of 984, 846, 473, 854
• GCD of 237, 440, 607, 373
• GCD of 877, 204, 262, 144

Given numbers are 108, 912, 186, 584
The greatest common divisor of numbers 108, 912, 186, 584 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 912, 186, 584 is 2.

1. What is the GCD of 108, 912, 186, 584?

GCD of given numbers 108, 912, 186, 584 is 2

2. How to calculate the greatest common divisor of 108, 912, 186, 584?

We can find the highest common divisor of 108, 912, 186, 584 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, 912, 186, 584 i.e 2.

3. How can I use the GCD of 108, 912, 186, 584Calculator?

Out the numbers 108, 912, 186, 584 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.