GCD of 828, 969, 792, 493 Calculator

Given Input numbers are 828, 969, 792, 493

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

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 792

List of positive integer divisors of 792 that divides 792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

Greatest Common Divisior

We found the divisors of 828, 969, 792, 493 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 828, 969, 792, 493 is 1.

Therefore, GCD of numbers 828, 969, 792, 493 is 1

Given Input Data is 828, 969, 792, 493

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

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 969 is 3 x 17 x 19

Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11

Prime Factorization of 493 is 17 x 29

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(828, 969) = 267444

GCD(828, 969) = ( 828 x 969 ) / 267444

GCD(828, 969) = 802332 / 267444

GCD(828, 969) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 792

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

LCM(3, 792) = 792

GCD(3, 792) = ( 3 x 792 ) / 792

GCD(3, 792) = 2376 / 792

GCD(3, 792) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 493

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

LCM(3, 493) = 1479

GCD(3, 493) = ( 3 x 493 ) / 1479

GCD(3, 493) = 1479 / 1479

GCD(3, 493) = 1

GCD of 828, 969, 792, 493 is 1

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• GCD of 565, 753, 946, 213
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1. What is the GCD of 828, 969, 792, 493?

GCD of 828, 969, 792, 493 is 1

2. Where do I get the detailed procedure to find GCD of 828, 969, 792, 493?

You can find a detailed procedure to find GCD of 828, 969, 792, 493 on our page.

3. How to find GCD of 828, 969, 792, 493 on a calculator?

You can find the GCD of 828, 969, 792, 493 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.