GCD of 228, 429, 96, 912 Calculator

Given Input numbers are 228, 429, 96, 912

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 429 :

The positive integer divisors of 429 that completely divides 429 are.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 96 :

The positive integer divisors of 96 that completely divides 96 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 912 :

The positive integer divisors of 912 that completely divides 912 are.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

GCD of numbers is the greatest common divisor

So, the GCD (228, 429, 96, 912) = 3.

Given numbers are 228, 429, 96, 912

The list of prime factors of all numbers are

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

Prime factors of 429 are 3 x 11 x 13

Prime factors of 96 are 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19

The highest common occurrence is 3¹

Therefore, GCD of 228, 429, 96, 912 is 3.

Given numbers are 228, 429, 96, 912

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

Apply this formula for all numbers.

Step1:

LCM(228, 429) = 32604

GCD(228, 429) = ( 228 x 429 ) / 32604

= 228 / 429

= 228

Step2:

LCM(3, 96) = 96

GCD(3, 96) = ( 3 x 96 ) / 96

= 3 / 96

= 3

Step3:

LCM(3, 912) = 912

GCD(3, 912) = ( 3 x 912 ) / 912

= 3 / 912

= 3

So, Greatest Common Divisor of 228, 429, 96, 912 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 438, 652, 76, 208
• GCD of 668, 105, 78, 566
• GCD of 215, 547, 22, 380
• GCD of 626, 813, 16, 247
• GCD of 166, 527, 38, 133

Given numbers are 228, 429, 96, 912
The greatest common divisor of numbers 228, 429, 96, 912 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 228, 429, 96, 912 is 3.

1. What is the GCD of 228, 429, 96, 912?

GCD of given numbers 228, 429, 96, 912 is 3

2. How to calculate the greatest common divisor of 228, 429, 96, 912?

We can find the highest common divisor of 228, 429, 96, 912 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, 429, 96, 912 i.e 3.

3. How can I use the GCD of 228, 429, 96, 912Calculator?

Out the numbers 228, 429, 96, 912 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.