GCD of 991, 320, 819, 504 Calculator

Given Input numbers are 991, 320, 819, 504

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

Divisors of 991

List of positive integer divisors of 991 that divides 991 without a remainder.

1, 991

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 819

List of positive integer divisors of 819 that divides 819 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Greatest Common Divisior

We found the divisors of 991, 320, 819, 504 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 991, 320, 819, 504 is 1.

Therefore, GCD of numbers 991, 320, 819, 504 is 1

Given Input Data is 991, 320, 819, 504

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

Prime Factorization of 991 is 991

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 819 is 3 x 3 x 7 x 13

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

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(991, 320) = 317120

GCD(991, 320) = ( 991 x 320 ) / 317120

GCD(991, 320) = 317120 / 317120

GCD(991, 320) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 819

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

LCM(1, 819) = 819

GCD(1, 819) = ( 1 x 819 ) / 819

GCD(1, 819) = 819 / 819

GCD(1, 819) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 504

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

LCM(1, 504) = 504

GCD(1, 504) = ( 1 x 504 ) / 504

GCD(1, 504) = 504 / 504

GCD(1, 504) = 1

GCD of 991, 320, 819, 504 is 1

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1. What is the GCD of 991, 320, 819, 504?

GCD of 991, 320, 819, 504 is 1

2. Where do I get the detailed procedure to find GCD of 991, 320, 819, 504?

You can find a detailed procedure to find GCD of 991, 320, 819, 504 on our page.

3. How to find GCD of 991, 320, 819, 504 on a calculator?

You can find the GCD of 991, 320, 819, 504 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.