GCD of 426, 912, 894, 832 Calculator

Given Input numbers are 426, 912, 894, 832

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 426

List of positive integer divisors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 912

List of positive integer divisors of 912 that divides 912 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 832

List of positive integer divisors of 832 that divides 832 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Greatest Common Divisior

We found the divisors of 426, 912, 894, 832 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 426, 912, 894, 832 is 2.

Therefore, GCD of numbers 426, 912, 894, 832 is 2

Given Input Data is 426, 912, 894, 832

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 426 is 2 x 3 x 71

Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19

Prime Factorization of 894 is 2 x 3 x 149

Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

Step1:

Let's calculate the GCD of first two numbers

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

LCM(426, 912) = 64752

GCD(426, 912) = ( 426 x 912 ) / 64752

GCD(426, 912) = 388512 / 64752

GCD(426, 912) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 894

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

LCM(6, 894) = 894

GCD(6, 894) = ( 6 x 894 ) / 894

GCD(6, 894) = 5364 / 894

GCD(6, 894) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 832

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

LCM(6, 832) = 2496

GCD(6, 832) = ( 6 x 832 ) / 2496

GCD(6, 832) = 4992 / 2496

GCD(6, 832) = 2

GCD of 426, 912, 894, 832 is 2

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1. What is the GCD of 426, 912, 894, 832?

GCD of 426, 912, 894, 832 is 2

2. Where do I get the detailed procedure to find GCD of 426, 912, 894, 832?

You can find a detailed procedure to find GCD of 426, 912, 894, 832 on our page.

3. How to find GCD of 426, 912, 894, 832 on a calculator?

You can find the GCD of 426, 912, 894, 832 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.