GCD of 428, 794, 994, 576 Calculator

Given Input numbers are 428, 794, 994, 576

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 794 :

The positive integer divisors of 794 that completely divides 794 are.

1, 2, 397, 794

Divisors of 994 :

The positive integer divisors of 994 that completely divides 994 are.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 576 :

The positive integer divisors of 576 that completely divides 576 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

GCD of numbers is the greatest common divisor

So, the GCD (428, 794, 994, 576) = 2.

Given numbers are 428, 794, 994, 576

The list of prime factors of all numbers are

Prime factors of 428 are 2 x 2 x 107

Prime factors of 794 are 2 x 397

Prime factors of 994 are 2 x 7 x 71

Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 428, 794, 994, 576 is 2.

Given numbers are 428, 794, 994, 576

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

Apply this formula for all numbers.

Step1:

LCM(428, 794) = 169916

GCD(428, 794) = ( 428 x 794 ) / 169916

= 428 / 794

= 428

Step2:

LCM(2, 994) = 994

GCD(2, 994) = ( 2 x 994 ) / 994

= 2 / 994

= 2

Step3:

LCM(2, 576) = 576

GCD(2, 576) = ( 2 x 576 ) / 576

= 2 / 576

= 2

So, Greatest Common Divisor of 428, 794, 994, 576 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 580, 758, 775, 547
• GCD of 528, 559, 581, 173
• GCD of 244, 121, 506, 290
• GCD of 268, 808, 720, 118
• GCD of 515, 781, 457, 823

Given numbers are 428, 794, 994, 576
The greatest common divisor of numbers 428, 794, 994, 576 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 794, 994, 576 is 2.

1. What is the GCD of 428, 794, 994, 576?

GCD of given numbers 428, 794, 994, 576 is 2

2. How to calculate the greatest common divisor of 428, 794, 994, 576?

We can find the highest common divisor of 428, 794, 994, 576 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, 794, 994, 576 i.e 2.

3. How can I use the GCD of 428, 794, 994, 576Calculator?

Out the numbers 428, 794, 994, 576 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.