GCD of 116, 408, 104, 398 Calculator

Given Input numbers are 116, 408, 104, 398

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

Divisors of 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 104 :

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

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

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

GCD of numbers is the greatest common divisor

So, the GCD (116, 408, 104, 398) = 2.

Given numbers are 116, 408, 104, 398

The list of prime factors of all numbers are

Prime factors of 116 are 2 x 2 x 29

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

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

Prime factors of 398 are 2 x 199

The highest common occurrence is 2¹

Therefore, GCD of 116, 408, 104, 398 is 2.

Given numbers are 116, 408, 104, 398

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

Apply this formula for all numbers.

Step1:

LCM(116, 408) = 11832

GCD(116, 408) = ( 116 x 408 ) / 11832

= 116 / 408

= 116

Step2:

LCM(4, 104) = 104

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

= 4 / 104

= 4

Step3:

LCM(4, 398) = 796

GCD(4, 398) = ( 4 x 398 ) / 796

= 4 / 398

= 4

So, Greatest Common Divisor of 116, 408, 104, 398 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 320, 263, 627, 359
• GCD of 569, 256, 116, 101
• GCD of 450, 886, 905, 656
• GCD of 416, 668, 319, 787
• GCD of 493, 735, 900, 924

Given numbers are 116, 408, 104, 398
The greatest common divisor of numbers 116, 408, 104, 398 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 116, 408, 104, 398 is 2.

1. What is the GCD of 116, 408, 104, 398?

GCD of given numbers 116, 408, 104, 398 is 2

2. How to calculate the greatest common divisor of 116, 408, 104, 398?

We can find the highest common divisor of 116, 408, 104, 398 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 116, 408, 104, 398 i.e 2.

3. How can I use the GCD of 116, 408, 104, 398Calculator?

Out the numbers 116, 408, 104, 398 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.