GCD of 819, 294, 632, 984 Calculator

Given Input numbers are 819, 294, 632, 984

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

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 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 632

List of positive integer divisors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Greatest Common Divisior

We found the divisors of 819, 294, 632, 984 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 819, 294, 632, 984 is 1.

Therefore, GCD of numbers 819, 294, 632, 984 is 1

Given Input Data is 819, 294, 632, 984

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

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

Prime Factorization of 294 is 2 x 3 x 7 x 7

Prime Factorization of 632 is 2 x 2 x 2 x 79

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

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(819, 294) = 11466

GCD(819, 294) = ( 819 x 294 ) / 11466

GCD(819, 294) = 240786 / 11466

GCD(819, 294) = 21

Step2:

Here we consider the GCD from the above i.e. 21 as first number and the next as 632

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

LCM(21, 632) = 13272

GCD(21, 632) = ( 21 x 632 ) / 13272

GCD(21, 632) = 13272 / 13272

GCD(21, 632) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 984

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

LCM(1, 984) = 984

GCD(1, 984) = ( 1 x 984 ) / 984

GCD(1, 984) = 984 / 984

GCD(1, 984) = 1

GCD of 819, 294, 632, 984 is 1

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1. What is the GCD of 819, 294, 632, 984?

GCD of 819, 294, 632, 984 is 1

2. Where do I get the detailed procedure to find GCD of 819, 294, 632, 984?

You can find a detailed procedure to find GCD of 819, 294, 632, 984 on our page.

3. How to find GCD of 819, 294, 632, 984 on a calculator?

You can find the GCD of 819, 294, 632, 984 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.