GCD of 228, 462, 638, 924 Calculator

Given Input numbers are 228, 462, 638, 924

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 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 638 :

The positive integer divisors of 638 that completely divides 638 are.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 924 :

The positive integer divisors of 924 that completely divides 924 are.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

GCD of numbers is the greatest common divisor

So, the GCD (228, 462, 638, 924) = 2.

Given numbers are 228, 462, 638, 924

The list of prime factors of all numbers are

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

Prime factors of 462 are 2 x 3 x 7 x 11

Prime factors of 638 are 2 x 11 x 29

Prime factors of 924 are 2 x 2 x 3 x 7 x 11

The highest common occurrence is 2¹

Therefore, GCD of 228, 462, 638, 924 is 2.

Given numbers are 228, 462, 638, 924

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

Apply this formula for all numbers.

Step1:

LCM(228, 462) = 17556

GCD(228, 462) = ( 228 x 462 ) / 17556

= 228 / 462

= 228

Step2:

LCM(6, 638) = 1914

GCD(6, 638) = ( 6 x 638 ) / 1914

= 6 / 638

= 6

Step3:

LCM(2, 924) = 924

GCD(2, 924) = ( 2 x 924 ) / 924

= 2 / 924

= 2

So, Greatest Common Divisor of 228, 462, 638, 924 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 147, 704, 770, 646
• GCD of 521, 851, 895, 306
• GCD of 527, 888, 108, 177
• GCD of 278, 190, 546, 860
• GCD of 887, 665, 322, 222

Given numbers are 228, 462, 638, 924
The greatest common divisor of numbers 228, 462, 638, 924 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 228, 462, 638, 924 is 2.

1. What is the GCD of 228, 462, 638, 924?

GCD of given numbers 228, 462, 638, 924 is 2

2. How to calculate the greatest common divisor of 228, 462, 638, 924?

We can find the highest common divisor of 228, 462, 638, 924 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, 462, 638, 924 i.e 2.

3. How can I use the GCD of 228, 462, 638, 924Calculator?

Out the numbers 228, 462, 638, 924 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.