GCD of 398, 228, 108, 226 Calculator

Given Input numbers are 398, 228, 108, 226

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

Divisors of 398 :

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

1, 2, 199, 398

Divisors of 228 :

The positive integer divisors of 228 that completely divides 228 are.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

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 226 :

The positive integer divisors of 226 that completely divides 226 are.

1, 2, 113, 226

GCD of numbers is the greatest common divisor

So, the GCD (398, 228, 108, 226) = 2.

Given numbers are 398, 228, 108, 226

The list of prime factors of all numbers are

Prime factors of 398 are 2 x 199

Prime factors of 228 are 2 x 2 x 3 x 19

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 226 are 2 x 113

The highest common occurrence is 2¹

Therefore, GCD of 398, 228, 108, 226 is 2.

Given numbers are 398, 228, 108, 226

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

Apply this formula for all numbers.

Step1:

LCM(398, 228) = 45372

GCD(398, 228) = ( 398 x 228 ) / 45372

= 398 / 228

= 398

Step2:

LCM(2, 108) = 108

GCD(2, 108) = ( 2 x 108 ) / 108

= 2 / 108

= 2

Step3:

LCM(2, 226) = 226

GCD(2, 226) = ( 2 x 226 ) / 226

= 2 / 226

= 2

So, Greatest Common Divisor of 398, 228, 108, 226 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 391, 805, 829, 973
• GCD of 838, 451, 891, 164
• GCD of 442, 248, 469, 667
• GCD of 351, 820, 693, 915
• GCD of 188, 168, 634, 433

Given numbers are 398, 228, 108, 226
The greatest common divisor of numbers 398, 228, 108, 226 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 398, 228, 108, 226 is 2.

1. What is the GCD of 398, 228, 108, 226?

GCD of given numbers 398, 228, 108, 226 is 2

2. How to calculate the greatest common divisor of 398, 228, 108, 226?

We can find the highest common divisor of 398, 228, 108, 226 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 398, 228, 108, 226 i.e 2.

3. How can I use the GCD of 398, 228, 108, 226Calculator?

Out the numbers 398, 228, 108, 226 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.