GCD of 234, 768, 676, 228 Calculator

Given Input numbers are 234, 768, 676, 228

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

Divisors of 234 :

The positive integer divisors of 234 that completely divides 234 are.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Divisors of 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

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

GCD of numbers is the greatest common divisor

So, the GCD (234, 768, 676, 228) = 2.

Given numbers are 234, 768, 676, 228

The list of prime factors of all numbers are

Prime factors of 234 are 2 x 3 x 3 x 13

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 676 are 2 x 2 x 13 x 13

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

The highest common occurrence is 2¹

Therefore, GCD of 234, 768, 676, 228 is 2.

Given numbers are 234, 768, 676, 228

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

Apply this formula for all numbers.

Step1:

LCM(234, 768) = 29952

GCD(234, 768) = ( 234 x 768 ) / 29952

= 234 / 768

= 234

Step2:

LCM(6, 676) = 2028

GCD(6, 676) = ( 6 x 676 ) / 2028

= 6 / 676

= 6

Step3:

LCM(2, 228) = 228

GCD(2, 228) = ( 2 x 228 ) / 228

= 2 / 228

= 2

So, Greatest Common Divisor of 234, 768, 676, 228 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 140, 864, 225, 834
• GCD of 643, 975, 820, 935
• GCD of 259, 468, 447, 191
• GCD of 155, 281, 845, 773
• GCD of 432, 984, 875, 413

Given numbers are 234, 768, 676, 228
The greatest common divisor of numbers 234, 768, 676, 228 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 234, 768, 676, 228 is 2.

1. What is the GCD of 234, 768, 676, 228?

GCD of given numbers 234, 768, 676, 228 is 2

2. How to calculate the greatest common divisor of 234, 768, 676, 228?

We can find the highest common divisor of 234, 768, 676, 228 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 234, 768, 676, 228 i.e 2.

3. How can I use the GCD of 234, 768, 676, 228Calculator?

Out the numbers 234, 768, 676, 228 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.