GCD of 428, 344, 446, 928 Calculator

Given Input numbers are 428, 344, 446, 928

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

Divisors of 428 :

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

1, 2, 4, 107, 214, 428

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 446 :

The positive integer divisors of 446 that completely divides 446 are.

1, 2, 223, 446

Divisors of 928 :

The positive integer divisors of 928 that completely divides 928 are.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

GCD of numbers is the greatest common divisor

So, the GCD (428, 344, 446, 928) = 2.

Given numbers are 428, 344, 446, 928

The list of prime factors of all numbers are

Prime factors of 428 are 2 x 2 x 107

Prime factors of 344 are 2 x 2 x 2 x 43

Prime factors of 446 are 2 x 223

Prime factors of 928 are 2 x 2 x 2 x 2 x 2 x 29

The highest common occurrence is 2¹

Therefore, GCD of 428, 344, 446, 928 is 2.

Given numbers are 428, 344, 446, 928

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

Apply this formula for all numbers.

Step1:

LCM(428, 344) = 36808

GCD(428, 344) = ( 428 x 344 ) / 36808

= 428 / 344

= 428

Step2:

LCM(4, 446) = 892

GCD(4, 446) = ( 4 x 446 ) / 892

= 4 / 446

= 4

Step3:

LCM(2, 928) = 928

GCD(2, 928) = ( 2 x 928 ) / 928

= 2 / 928

= 2

So, Greatest Common Divisor of 428, 344, 446, 928 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 124, 903, 190, 651
• GCD of 497, 300, 523, 201
• GCD of 590, 406, 840, 217
• GCD of 896, 908, 412, 157
• GCD of 217, 264, 657, 338

Given numbers are 428, 344, 446, 928
The greatest common divisor of numbers 428, 344, 446, 928 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 344, 446, 928 is 2.

1. What is the GCD of 428, 344, 446, 928?

GCD of given numbers 428, 344, 446, 928 is 2

2. How to calculate the greatest common divisor of 428, 344, 446, 928?

We can find the highest common divisor of 428, 344, 446, 928 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 428, 344, 446, 928 i.e 2.

3. How can I use the GCD of 428, 344, 446, 928Calculator?

Out the numbers 428, 344, 446, 928 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.