GCD of 830, 431, 10, 992 Calculator

Given Input numbers are 830, 431, 10, 992

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

Divisors of 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Divisors of 431

List of positive integer divisors of 431 that divides 431 without a remainder.

1, 431

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

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

Greatest Common Divisior

We found the divisors of 830, 431, 10, 992 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 830, 431, 10, 992 is 1.

Therefore, GCD of numbers 830, 431, 10, 992 is 1

Given Input Data is 830, 431, 10, 992

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

Prime Factorization of 830 is 2 x 5 x 83

Prime Factorization of 431 is 431

Prime Factorization of 10 is 2 x 5

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

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(830, 431) = 357730

GCD(830, 431) = ( 830 x 431 ) / 357730

GCD(830, 431) = 357730 / 357730

GCD(830, 431) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 10

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

LCM(1, 10) = 10

GCD(1, 10) = ( 1 x 10 ) / 10

GCD(1, 10) = 10 / 10

GCD(1, 10) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 992

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

LCM(1, 992) = 992

GCD(1, 992) = ( 1 x 992 ) / 992

GCD(1, 992) = 992 / 992

GCD(1, 992) = 1

GCD of 830, 431, 10, 992 is 1

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1. What is the GCD of 830, 431, 10, 992?

GCD of 830, 431, 10, 992 is 1

2. Where do I get the detailed procedure to find GCD of 830, 431, 10, 992?

You can find a detailed procedure to find GCD of 830, 431, 10, 992 on our page.

3. How to find GCD of 830, 431, 10, 992 on a calculator?

You can find the GCD of 830, 431, 10, 992 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.