GCD of 104, 204, 806, 684 Calculator

Given Input numbers are 104, 204, 806, 684

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

Divisors of 104 :

The positive integer divisors of 104 that completely divides 104 are.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 204 :

The positive integer divisors of 204 that completely divides 204 are.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 806 :

The positive integer divisors of 806 that completely divides 806 are.

1, 2, 13, 26, 31, 62, 403, 806

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

GCD of numbers is the greatest common divisor

So, the GCD (104, 204, 806, 684) = 2.

Given numbers are 104, 204, 806, 684

The list of prime factors of all numbers are

Prime factors of 104 are 2 x 2 x 2 x 13

Prime factors of 204 are 2 x 2 x 3 x 17

Prime factors of 806 are 2 x 13 x 31

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

The highest common occurrence is 2¹

Therefore, GCD of 104, 204, 806, 684 is 2.

Given numbers are 104, 204, 806, 684

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

Apply this formula for all numbers.

Step1:

LCM(104, 204) = 5304

GCD(104, 204) = ( 104 x 204 ) / 5304

= 104 / 204

= 104

Step2:

LCM(4, 806) = 1612

GCD(4, 806) = ( 4 x 806 ) / 1612

= 4 / 806

= 4

Step3:

LCM(2, 684) = 684

GCD(2, 684) = ( 2 x 684 ) / 684

= 2 / 684

= 2

So, Greatest Common Divisor of 104, 204, 806, 684 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 541, 735, 465, 344
• GCD of 622, 465, 118, 719
• GCD of 283, 195, 468, 180
• GCD of 715, 598, 746, 678
• GCD of 705, 908, 354, 318

Given numbers are 104, 204, 806, 684
The greatest common divisor of numbers 104, 204, 806, 684 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 104, 204, 806, 684 is 2.

1. What is the GCD of 104, 204, 806, 684?

GCD of given numbers 104, 204, 806, 684 is 2

2. How to calculate the greatest common divisor of 104, 204, 806, 684?

We can find the highest common divisor of 104, 204, 806, 684 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 104, 204, 806, 684 i.e 2.

3. How can I use the GCD of 104, 204, 806, 684Calculator?

Out the numbers 104, 204, 806, 684 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.