GCD of 312, 284, 104 Calculator

Given Input numbers are 312, 284, 104

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

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 284 :

The positive integer divisors of 284 that completely divides 284 are.

1, 2, 4, 71, 142, 284

Divisors of 104 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (312, 284, 104) = 4.

Given numbers are 312, 284, 104

The list of prime factors of all numbers are

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 284 are 2 x 2 x 71

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

The highest common occurrence is 2²

Therefore, GCD of 312, 284, 104 is 4.

Given numbers are 312, 284, 104

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

Apply this formula for all numbers.

Step1:

LCM(312, 284) = 22152

GCD(312, 284) = ( 312 x 284 ) / 22152

= 312 / 284

= 312

Step2:

LCM(4, 104) = 104

GCD(4, 104) = ( 4 x 104 ) / 104

= 4 / 104

= 4

So, Greatest Common Divisor of 312, 284, 104 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 949, 243, 589
• GCD of 759, 271, 434
• GCD of 605, 760, 867
• GCD of 811, 155, 765
• GCD of 789, 288, 312

Given numbers are 312, 284, 104
The greatest common divisor of numbers 312, 284, 104 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 312, 284, 104 is 4.

1. What is the GCD of 312, 284, 104?

GCD of given numbers 312, 284, 104 is 4

2. How to calculate the greatest common divisor of 312, 284, 104?

We can find the highest common divisor of 312, 284, 104 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 312, 284, 104 i.e 4.

3. How can I use the GCD of 312, 284, 104Calculator?

Out the numbers 312, 284, 104 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.