GCD of 228, 448, 106, 824 Calculator

Given Input numbers are 228, 448, 106, 824

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

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 448 :

The positive integer divisors of 448 that completely divides 448 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 106 :

The positive integer divisors of 106 that completely divides 106 are.

1, 2, 53, 106

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

GCD of numbers is the greatest common divisor

So, the GCD (228, 448, 106, 824) = 2.

Given numbers are 228, 448, 106, 824

The list of prime factors of all numbers are

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

Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 106 are 2 x 53

Prime factors of 824 are 2 x 2 x 2 x 103

The highest common occurrence is 2¹

Therefore, GCD of 228, 448, 106, 824 is 2.

Given numbers are 228, 448, 106, 824

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

Apply this formula for all numbers.

Step1:

LCM(228, 448) = 25536

GCD(228, 448) = ( 228 x 448 ) / 25536

= 228 / 448

= 228

Step2:

LCM(4, 106) = 212

GCD(4, 106) = ( 4 x 106 ) / 212

= 4 / 106

= 4

Step3:

LCM(2, 824) = 824

GCD(2, 824) = ( 2 x 824 ) / 824

= 2 / 824

= 2

So, Greatest Common Divisor of 228, 448, 106, 824 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 345, 891, 497, 263
• GCD of 352, 851, 315, 581
• GCD of 324, 583, 293, 791
• GCD of 676, 678, 723, 440
• GCD of 159, 168, 646, 885

Given numbers are 228, 448, 106, 824
The greatest common divisor of numbers 228, 448, 106, 824 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 228, 448, 106, 824 is 2.

1. What is the GCD of 228, 448, 106, 824?

GCD of given numbers 228, 448, 106, 824 is 2

2. How to calculate the greatest common divisor of 228, 448, 106, 824?

We can find the highest common divisor of 228, 448, 106, 824 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 228, 448, 106, 824 i.e 2.

3. How can I use the GCD of 228, 448, 106, 824Calculator?

Out the numbers 228, 448, 106, 824 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.