GCD of 992, 809, 228, 902 Calculator

Given Input numbers are 992, 809, 228, 902

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

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 809

List of positive integer divisors of 809 that divides 809 without a remainder.

1, 809

Divisors of 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Greatest Common Divisior

We found the divisors of 992, 809, 228, 902 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 992, 809, 228, 902 is 1.

Therefore, GCD of numbers 992, 809, 228, 902 is 1

Given Input Data is 992, 809, 228, 902

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

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

Prime Factorization of 809 is 809

Prime Factorization of 228 is 2 x 2 x 3 x 19

Prime Factorization of 902 is 2 x 11 x 41

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(992, 809) = 802528

GCD(992, 809) = ( 992 x 809 ) / 802528

GCD(992, 809) = 802528 / 802528

GCD(992, 809) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 228

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

LCM(1, 228) = 228

GCD(1, 228) = ( 1 x 228 ) / 228

GCD(1, 228) = 228 / 228

GCD(1, 228) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 902

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

LCM(1, 902) = 902

GCD(1, 902) = ( 1 x 902 ) / 902

GCD(1, 902) = 902 / 902

GCD(1, 902) = 1

GCD of 992, 809, 228, 902 is 1

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1. What is the GCD of 992, 809, 228, 902?

GCD of 992, 809, 228, 902 is 1

2. Where do I get the detailed procedure to find GCD of 992, 809, 228, 902?

You can find a detailed procedure to find GCD of 992, 809, 228, 902 on our page.

3. How to find GCD of 992, 809, 228, 902 on a calculator?

You can find the GCD of 992, 809, 228, 902 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.