GCD of 825, 169, 796, 442 Calculator

Given Input numbers are 825, 169, 796, 442

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

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Divisors of 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Divisors of 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Greatest Common Divisior

We found the divisors of 825, 169, 796, 442 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 825, 169, 796, 442 is 1.

Therefore, GCD of numbers 825, 169, 796, 442 is 1

Given Input Data is 825, 169, 796, 442

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

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 169 is 13 x 13

Prime Factorization of 796 is 2 x 2 x 199

Prime Factorization of 442 is 2 x 13 x 17

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(825, 169) = 139425

GCD(825, 169) = ( 825 x 169 ) / 139425

GCD(825, 169) = 139425 / 139425

GCD(825, 169) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 796

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

LCM(1, 796) = 796

GCD(1, 796) = ( 1 x 796 ) / 796

GCD(1, 796) = 796 / 796

GCD(1, 796) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 442

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

LCM(1, 442) = 442

GCD(1, 442) = ( 1 x 442 ) / 442

GCD(1, 442) = 442 / 442

GCD(1, 442) = 1

GCD of 825, 169, 796, 442 is 1

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1. What is the GCD of 825, 169, 796, 442?

GCD of 825, 169, 796, 442 is 1

2. Where do I get the detailed procedure to find GCD of 825, 169, 796, 442?

You can find a detailed procedure to find GCD of 825, 169, 796, 442 on our page.

3. How to find GCD of 825, 169, 796, 442 on a calculator?

You can find the GCD of 825, 169, 796, 442 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.