GCD of 108, 684, 886, 334 Calculator

Given Input numbers are 108, 684, 886, 334

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 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 886 :

The positive integer divisors of 886 that completely divides 886 are.

1, 2, 443, 886

Divisors of 334 :

The positive integer divisors of 334 that completely divides 334 are.

1, 2, 167, 334

GCD of numbers is the greatest common divisor

So, the GCD (108, 684, 886, 334) = 2.

Given numbers are 108, 684, 886, 334

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 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 886 are 2 x 443

Prime factors of 334 are 2 x 167

The highest common occurrence is 2¹

Therefore, GCD of 108, 684, 886, 334 is 2.

Given numbers are 108, 684, 886, 334

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

Apply this formula for all numbers.

Step1:

LCM(108, 684) = 2052

GCD(108, 684) = ( 108 x 684 ) / 2052

= 108 / 684

= 108

Step2:

LCM(36, 886) = 15948

GCD(36, 886) = ( 36 x 886 ) / 15948

= 36 / 886

= 36

Step3:

LCM(2, 334) = 334

GCD(2, 334) = ( 2 x 334 ) / 334

= 2 / 334

= 2

So, Greatest Common Divisor of 108, 684, 886, 334 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 584, 955, 748, 745
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Given numbers are 108, 684, 886, 334
The greatest common divisor of numbers 108, 684, 886, 334 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 684, 886, 334 is 2.

1. What is the GCD of 108, 684, 886, 334?

GCD of given numbers 108, 684, 886, 334 is 2

2. How to calculate the greatest common divisor of 108, 684, 886, 334?

We can find the highest common divisor of 108, 684, 886, 334 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, 684, 886, 334 i.e 2.

3. How can I use the GCD of 108, 684, 886, 334Calculator?

Out the numbers 108, 684, 886, 334 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.