GCD of 992, 788, 227, 828 Calculator

Given Input numbers are 992, 788, 227, 828

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 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Divisors of 227

List of positive integer divisors of 227 that divides 227 without a remainder.

1, 227

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Greatest Common Divisior

We found the divisors of 992, 788, 227, 828 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 992, 788, 227, 828 is 1.

Therefore, GCD of numbers 992, 788, 227, 828 is 1

Given Input Data is 992, 788, 227, 828

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 788 is 2 x 2 x 197

Prime Factorization of 227 is 227

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

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, 788) = 195424

GCD(992, 788) = ( 992 x 788 ) / 195424

GCD(992, 788) = 781696 / 195424

GCD(992, 788) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 227

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

LCM(4, 227) = 908

GCD(4, 227) = ( 4 x 227 ) / 908

GCD(4, 227) = 908 / 908

GCD(4, 227) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 828

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

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

GCD(1, 828) = 828 / 828

GCD(1, 828) = 1

GCD of 992, 788, 227, 828 is 1

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1. What is the GCD of 992, 788, 227, 828?

GCD of 992, 788, 227, 828 is 1

2. Where do I get the detailed procedure to find GCD of 992, 788, 227, 828?

You can find a detailed procedure to find GCD of 992, 788, 227, 828 on our page.

3. How to find GCD of 992, 788, 227, 828 on a calculator?

You can find the GCD of 992, 788, 227, 828 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.