GCD of 992, 588, 19, 982 Calculator

Given Input numbers are 992, 588, 19, 982

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 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Greatest Common Divisior

We found the divisors of 992, 588, 19, 982 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 992, 588, 19, 982 is 1.

Therefore, GCD of numbers 992, 588, 19, 982 is 1

Given Input Data is 992, 588, 19, 982

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 588 is 2 x 2 x 3 x 7 x 7

Prime Factorization of 19 is 19

Prime Factorization of 982 is 2 x 491

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, 588) = 145824

GCD(992, 588) = ( 992 x 588 ) / 145824

GCD(992, 588) = 583296 / 145824

GCD(992, 588) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 19

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

LCM(4, 19) = 76

GCD(4, 19) = ( 4 x 19 ) / 76

GCD(4, 19) = 76 / 76

GCD(4, 19) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 982

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

LCM(1, 982) = 982

GCD(1, 982) = ( 1 x 982 ) / 982

GCD(1, 982) = 982 / 982

GCD(1, 982) = 1

GCD of 992, 588, 19, 982 is 1

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1. What is the GCD of 992, 588, 19, 982?

GCD of 992, 588, 19, 982 is 1

2. Where do I get the detailed procedure to find GCD of 992, 588, 19, 982?

You can find a detailed procedure to find GCD of 992, 588, 19, 982 on our page.

3. How to find GCD of 992, 588, 19, 982 on a calculator?

You can find the GCD of 992, 588, 19, 982 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.