GCD of 184, 986, 968, 108 Calculator

Given Input numbers are 184, 986, 968, 108

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

Divisors of 184 :

The positive integer divisors of 184 that completely divides 184 are.

1, 2, 4, 8, 23, 46, 92, 184

Divisors of 986 :

The positive integer divisors of 986 that completely divides 986 are.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 968 :

The positive integer divisors of 968 that completely divides 968 are.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

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

GCD of numbers is the greatest common divisor

So, the GCD (184, 986, 968, 108) = 2.

Given numbers are 184, 986, 968, 108

The list of prime factors of all numbers are

Prime factors of 184 are 2 x 2 x 2 x 23

Prime factors of 986 are 2 x 17 x 29

Prime factors of 968 are 2 x 2 x 2 x 11 x 11

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

The highest common occurrence is 2¹

Therefore, GCD of 184, 986, 968, 108 is 2.

Given numbers are 184, 986, 968, 108

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

Apply this formula for all numbers.

Step1:

LCM(184, 986) = 90712

GCD(184, 986) = ( 184 x 986 ) / 90712

= 184 / 986

= 184

Step2:

LCM(2, 968) = 968

GCD(2, 968) = ( 2 x 968 ) / 968

= 2 / 968

= 2

Step3:

LCM(2, 108) = 108

GCD(2, 108) = ( 2 x 108 ) / 108

= 2 / 108

= 2

So, Greatest Common Divisor of 184, 986, 968, 108 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 187, 503, 120, 427
• GCD of 766, 580, 718, 889
• GCD of 805, 106, 110, 319
• GCD of 718, 396, 830, 505
• GCD of 738, 124, 792, 135

Given numbers are 184, 986, 968, 108
The greatest common divisor of numbers 184, 986, 968, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 184, 986, 968, 108 is 2.

1. What is the GCD of 184, 986, 968, 108?

GCD of given numbers 184, 986, 968, 108 is 2

2. How to calculate the greatest common divisor of 184, 986, 968, 108?

We can find the highest common divisor of 184, 986, 968, 108 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 184, 986, 968, 108 i.e 2.

3. How can I use the GCD of 184, 986, 968, 108Calculator?

Out the numbers 184, 986, 968, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.