GCD of 988, 594, 368, 829 Calculator

Given Input numbers are 988, 594, 368, 829

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

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 594

List of positive integer divisors of 594 that divides 594 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Divisors of 829

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

1, 829

Greatest Common Divisior

We found the divisors of 988, 594, 368, 829 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 988, 594, 368, 829 is 1.

Therefore, GCD of numbers 988, 594, 368, 829 is 1

Given Input Data is 988, 594, 368, 829

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

Prime Factorization of 988 is 2 x 2 x 13 x 19

Prime Factorization of 594 is 2 x 3 x 3 x 3 x 11

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

Prime Factorization of 829 is 829

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(988, 594) = 293436

GCD(988, 594) = ( 988 x 594 ) / 293436

GCD(988, 594) = 586872 / 293436

GCD(988, 594) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 368

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

LCM(2, 368) = 368

GCD(2, 368) = ( 2 x 368 ) / 368

GCD(2, 368) = 736 / 368

GCD(2, 368) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 829

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

LCM(2, 829) = 1658

GCD(2, 829) = ( 2 x 829 ) / 1658

GCD(2, 829) = 1658 / 1658

GCD(2, 829) = 1

GCD of 988, 594, 368, 829 is 1

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1. What is the GCD of 988, 594, 368, 829?

GCD of 988, 594, 368, 829 is 1

2. Where do I get the detailed procedure to find GCD of 988, 594, 368, 829?

You can find a detailed procedure to find GCD of 988, 594, 368, 829 on our page.

3. How to find GCD of 988, 594, 368, 829 on a calculator?

You can find the GCD of 988, 594, 368, 829 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.