GCD of 256, 428, 872, 878 Calculator

Given Input numbers are 256, 428, 872, 878

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 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 878 :

The positive integer divisors of 878 that completely divides 878 are.

1, 2, 439, 878

GCD of numbers is the greatest common divisor

So, the GCD (256, 428, 872, 878) = 2.

Given numbers are 256, 428, 872, 878

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 428 are 2 x 2 x 107

Prime factors of 872 are 2 x 2 x 2 x 109

Prime factors of 878 are 2 x 439

The highest common occurrence is 2¹

Therefore, GCD of 256, 428, 872, 878 is 2.

Given numbers are 256, 428, 872, 878

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

Apply this formula for all numbers.

Step1:

LCM(256, 428) = 27392

GCD(256, 428) = ( 256 x 428 ) / 27392

= 256 / 428

= 256

Step2:

LCM(4, 872) = 872

GCD(4, 872) = ( 4 x 872 ) / 872

= 4 / 872

= 4

Step3:

LCM(4, 878) = 1756

GCD(4, 878) = ( 4 x 878 ) / 1756

= 4 / 878

= 4

So, Greatest Common Divisor of 256, 428, 872, 878 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 778, 138, 991, 843
• GCD of 232, 668, 484, 600
• GCD of 143, 144, 121, 237
• GCD of 504, 497, 540, 743
• GCD of 952, 768, 316, 802

Given numbers are 256, 428, 872, 878
The greatest common divisor of numbers 256, 428, 872, 878 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 256, 428, 872, 878 is 2.

1. What is the GCD of 256, 428, 872, 878?

GCD of given numbers 256, 428, 872, 878 is 2

2. How to calculate the greatest common divisor of 256, 428, 872, 878?

We can find the highest common divisor of 256, 428, 872, 878 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, 428, 872, 878 i.e 2.

3. How can I use the GCD of 256, 428, 872, 878Calculator?

Out the numbers 256, 428, 872, 878 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.