GCD of 256, 196, 784, 228 Calculator

Given Input numbers are 256, 196, 784, 228

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

Divisors of 256 :

The positive integer divisors of 256 that completely divides 256 are.

1, 2, 4, 8, 16, 32, 64, 128, 256

Divisors of 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

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 (256, 196, 784, 228) = 4.

Given numbers are 256, 196, 784, 228

The list of prime factors of all numbers are

Prime factors of 256 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime factors of 196 are 2 x 2 x 7 x 7

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

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

The highest common occurrence is 2²

Therefore, GCD of 256, 196, 784, 228 is 4.

Given numbers are 256, 196, 784, 228

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

Apply this formula for all numbers.

Step1:

LCM(256, 196) = 12544

GCD(256, 196) = ( 256 x 196 ) / 12544

= 256 / 196

= 256

Step2:

LCM(4, 784) = 784

GCD(4, 784) = ( 4 x 784 ) / 784

= 4 / 784

= 4

Step3:

LCM(4, 228) = 228

GCD(4, 228) = ( 4 x 228 ) / 228

= 4 / 228

= 4

So, Greatest Common Divisor of 256, 196, 784, 228 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 772, 187, 184, 665
• GCD of 141, 854, 141, 357
• GCD of 339, 879, 500, 114
• GCD of 236, 803, 412, 925
• GCD of 838, 916, 878, 289

Given numbers are 256, 196, 784, 228
The greatest common divisor of numbers 256, 196, 784, 228 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 256, 196, 784, 228 is 4.

1. What is the GCD of 256, 196, 784, 228?

GCD of given numbers 256, 196, 784, 228 is 4

2. How to calculate the greatest common divisor of 256, 196, 784, 228?

We can find the highest common divisor of 256, 196, 784, 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 256, 196, 784, 228 i.e 4.

3. How can I use the GCD of 256, 196, 784, 228Calculator?

Out the numbers 256, 196, 784, 228 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.