GCD of 730, 442, 926, 804 Calculator

Given Input numbers are 730, 442, 926, 804

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

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 926

List of positive integer divisors of 926 that divides 926 without a remainder.

1, 2, 463, 926

Divisors of 804

List of positive integer divisors of 804 that divides 804 without a remainder.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Greatest Common Divisior

We found the divisors of 730, 442, 926, 804 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 730, 442, 926, 804 is 2.

Therefore, GCD of numbers 730, 442, 926, 804 is 2

Given Input Data is 730, 442, 926, 804

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

Prime Factorization of 730 is 2 x 5 x 73

Prime Factorization of 442 is 2 x 13 x 17

Prime Factorization of 926 is 2 x 463

Prime Factorization of 804 is 2 x 2 x 3 x 67

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(730, 442) = 161330

GCD(730, 442) = ( 730 x 442 ) / 161330

GCD(730, 442) = 322660 / 161330

GCD(730, 442) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 926

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

LCM(2, 926) = 926

GCD(2, 926) = ( 2 x 926 ) / 926

GCD(2, 926) = 1852 / 926

GCD(2, 926) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 804

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

LCM(2, 804) = 804

GCD(2, 804) = ( 2 x 804 ) / 804

GCD(2, 804) = 1608 / 804

GCD(2, 804) = 2

GCD of 730, 442, 926, 804 is 2

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1. What is the GCD of 730, 442, 926, 804?

GCD of 730, 442, 926, 804 is 2

2. Where do I get the detailed procedure to find GCD of 730, 442, 926, 804?

You can find a detailed procedure to find GCD of 730, 442, 926, 804 on our page.

3. How to find GCD of 730, 442, 926, 804 on a calculator?

You can find the GCD of 730, 442, 926, 804 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.