GCD of 104, 828, 444, 390 Calculator

Given Input numbers are 104, 828, 444, 390

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 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 444 :

The positive integer divisors of 444 that completely divides 444 are.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

GCD of numbers is the greatest common divisor

So, the GCD (104, 828, 444, 390) = 2.

Given numbers are 104, 828, 444, 390

The list of prime factors of all numbers are

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

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 444 are 2 x 2 x 3 x 37

Prime factors of 390 are 2 x 3 x 5 x 13

The highest common occurrence is 2¹

Therefore, GCD of 104, 828, 444, 390 is 2.

Given numbers are 104, 828, 444, 390

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

Apply this formula for all numbers.

Step1:

LCM(104, 828) = 21528

GCD(104, 828) = ( 104 x 828 ) / 21528

= 104 / 828

= 104

Step2:

LCM(4, 444) = 444

GCD(4, 444) = ( 4 x 444 ) / 444

= 4 / 444

= 4

Step3:

LCM(4, 390) = 780

GCD(4, 390) = ( 4 x 390 ) / 780

= 4 / 390

= 4

So, Greatest Common Divisor of 104, 828, 444, 390 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 454, 122, 444, 564
• GCD of 990, 964, 876, 488
• GCD of 241, 557, 645, 285
• GCD of 892, 251, 840, 353
• GCD of 497, 299, 552, 240

Given numbers are 104, 828, 444, 390
The greatest common divisor of numbers 104, 828, 444, 390 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 104, 828, 444, 390 is 2.

1. What is the GCD of 104, 828, 444, 390?

GCD of given numbers 104, 828, 444, 390 is 2

2. How to calculate the greatest common divisor of 104, 828, 444, 390?

We can find the highest common divisor of 104, 828, 444, 390 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, 828, 444, 390 i.e 2.

3. How can I use the GCD of 104, 828, 444, 390Calculator?

Out the numbers 104, 828, 444, 390 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.