GCD of 636, 789, 90, 992 Calculator

Given Input numbers are 636, 789, 90, 992

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

Divisors of 636

List of positive integer divisors of 636 that divides 636 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Divisors of 789

List of positive integer divisors of 789 that divides 789 without a remainder.

1, 3, 263, 789

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

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 636, 789, 90, 992 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 636, 789, 90, 992 is 1.

Therefore, GCD of numbers 636, 789, 90, 992 is 1

Given Input Data is 636, 789, 90, 992

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

Prime Factorization of 636 is 2 x 2 x 3 x 53

Prime Factorization of 789 is 3 x 263

Prime Factorization of 90 is 2 x 3 x 3 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(636, 789) = 167268

GCD(636, 789) = ( 636 x 789 ) / 167268

GCD(636, 789) = 501804 / 167268

GCD(636, 789) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 90

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

LCM(3, 90) = 90

GCD(3, 90) = ( 3 x 90 ) / 90

GCD(3, 90) = 270 / 90

GCD(3, 90) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 992

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

LCM(3, 992) = 2976

GCD(3, 992) = ( 3 x 992 ) / 2976

GCD(3, 992) = 2976 / 2976

GCD(3, 992) = 1

GCD of 636, 789, 90, 992 is 1

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1. What is the GCD of 636, 789, 90, 992?

GCD of 636, 789, 90, 992 is 1

2. Where do I get the detailed procedure to find GCD of 636, 789, 90, 992?

You can find a detailed procedure to find GCD of 636, 789, 90, 992 on our page.

3. How to find GCD of 636, 789, 90, 992 on a calculator?

You can find the GCD of 636, 789, 90, 992 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.