GCD of 108, 982, 288, 912 Calculator

Given Input numbers are 108, 982, 288, 912

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 982 :

The positive integer divisors of 982 that completely divides 982 are.

1, 2, 491, 982

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

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

GCD of numbers is the greatest common divisor

So, the GCD (108, 982, 288, 912) = 2.

Given numbers are 108, 982, 288, 912

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 982 are 2 x 491

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19

The highest common occurrence is 2¹

Therefore, GCD of 108, 982, 288, 912 is 2.

Given numbers are 108, 982, 288, 912

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

Apply this formula for all numbers.

Step1:

LCM(108, 982) = 53028

GCD(108, 982) = ( 108 x 982 ) / 53028

= 108 / 982

= 108

Step2:

LCM(2, 288) = 288

GCD(2, 288) = ( 2 x 288 ) / 288

= 2 / 288

= 2

Step3:

LCM(2, 912) = 912

GCD(2, 912) = ( 2 x 912 ) / 912

= 2 / 912

= 2

So, Greatest Common Divisor of 108, 982, 288, 912 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 624, 142, 101, 363
• GCD of 170, 908, 814, 954
• GCD of 157, 881, 187, 519
• GCD of 494, 195, 689, 781
• GCD of 397, 516, 819, 611

Given numbers are 108, 982, 288, 912
The greatest common divisor of numbers 108, 982, 288, 912 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 982, 288, 912 is 2.

1. What is the GCD of 108, 982, 288, 912?

GCD of given numbers 108, 982, 288, 912 is 2

2. How to calculate the greatest common divisor of 108, 982, 288, 912?

We can find the highest common divisor of 108, 982, 288, 912 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, 982, 288, 912 i.e 2.

3. How can I use the GCD of 108, 982, 288, 912Calculator?

Out the numbers 108, 982, 288, 912 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.