GCD of 829, 230, 647, 992 Calculator

Given Input numbers are 829, 230, 647, 992

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

Divisors of 829

List of positive integer divisors of 829 that divides 829 without a remainder.

1, 829

Divisors of 230

List of positive integer divisors of 230 that divides 230 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230

Divisors of 647

List of positive integer divisors of 647 that divides 647 without a remainder.

1, 647

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 829, 230, 647, 992 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 829, 230, 647, 992 is 1.

Therefore, GCD of numbers 829, 230, 647, 992 is 1

Given Input Data is 829, 230, 647, 992

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

Prime Factorization of 829 is 829

Prime Factorization of 230 is 2 x 5 x 23

Prime Factorization of 647 is 647

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(829, 230) = 190670

GCD(829, 230) = ( 829 x 230 ) / 190670

GCD(829, 230) = 190670 / 190670

GCD(829, 230) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 647

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

LCM(1, 647) = 647

GCD(1, 647) = ( 1 x 647 ) / 647

GCD(1, 647) = 647 / 647

GCD(1, 647) = 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 829, 230, 647, 992 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 354, 613, 495, 765
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• GCD of 240, 231, 560, 282
• GCD of 802, 163, 519, 457

1. What is the GCD of 829, 230, 647, 992?

GCD of 829, 230, 647, 992 is 1

2. Where do I get the detailed procedure to find GCD of 829, 230, 647, 992?

You can find a detailed procedure to find GCD of 829, 230, 647, 992 on our page.

3. How to find GCD of 829, 230, 647, 992 on a calculator?

You can find the GCD of 829, 230, 647, 992 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.