GCD of 730, 126, 398, 831 Calculator

Given Input numbers are 730, 126, 398, 831

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 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 398

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

1, 2, 199, 398

Divisors of 831

List of positive integer divisors of 831 that divides 831 without a remainder.

1, 3, 277, 831

Greatest Common Divisior

We found the divisors of 730, 126, 398, 831 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 730, 126, 398, 831 is 1.

Therefore, GCD of numbers 730, 126, 398, 831 is 1

Given Input Data is 730, 126, 398, 831

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 126 is 2 x 3 x 3 x 7

Prime Factorization of 398 is 2 x 199

Prime Factorization of 831 is 3 x 277

The above numbers do not have any common prime factor. So GCD is 1

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, 126) = 45990

GCD(730, 126) = ( 730 x 126 ) / 45990

GCD(730, 126) = 91980 / 45990

GCD(730, 126) = 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 831

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

LCM(2, 831) = 1662

GCD(2, 831) = ( 2 x 831 ) / 1662

GCD(2, 831) = 1662 / 1662

GCD(2, 831) = 1

GCD of 730, 126, 398, 831 is 1

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• GCD of 356, 993, 160, 110
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1. What is the GCD of 730, 126, 398, 831?

GCD of 730, 126, 398, 831 is 1

2. Where do I get the detailed procedure to find GCD of 730, 126, 398, 831?

You can find a detailed procedure to find GCD of 730, 126, 398, 831 on our page.

3. How to find GCD of 730, 126, 398, 831 on a calculator?

You can find the GCD of 730, 126, 398, 831 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.