GCD of 730, 992, 398, 842 Calculator

Given Input numbers are 730, 992, 398, 842

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 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Greatest Common Divisior

We found the divisors of 730, 992, 398, 842 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 730, 992, 398, 842 is 2.

Therefore, GCD of numbers 730, 992, 398, 842 is 2

Given Input Data is 730, 992, 398, 842

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 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 398 is 2 x 199

Prime Factorization of 842 is 2 x 421

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, 992) = 362080

GCD(730, 992) = ( 730 x 992 ) / 362080

GCD(730, 992) = 724160 / 362080

GCD(730, 992) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 398

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

LCM(2, 398) = 398

GCD(2, 398) = ( 2 x 398 ) / 398

GCD(2, 398) = 796 / 398

GCD(2, 398) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 842

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

LCM(2, 842) = 842

GCD(2, 842) = ( 2 x 842 ) / 842

GCD(2, 842) = 1684 / 842

GCD(2, 842) = 2

GCD of 730, 992, 398, 842 is 2

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1. What is the GCD of 730, 992, 398, 842?

GCD of 730, 992, 398, 842 is 2

2. Where do I get the detailed procedure to find GCD of 730, 992, 398, 842?

You can find a detailed procedure to find GCD of 730, 992, 398, 842 on our page.

3. How to find GCD of 730, 992, 398, 842 on a calculator?

You can find the GCD of 730, 992, 398, 842 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.