GCD of 825, 319, 122, 173 Calculator

Given Input numbers are 825, 319, 122, 173

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 319

List of positive integer divisors of 319 that divides 319 without a remainder.

1, 11, 29, 319

Divisors of 122

List of positive integer divisors of 122 that divides 122 without a remainder.

1, 2, 61, 122

Divisors of 173

List of positive integer divisors of 173 that divides 173 without a remainder.

1, 173

Greatest Common Divisior

We found the divisors of 825, 319, 122, 173 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 825, 319, 122, 173 is 1.

Therefore, GCD of numbers 825, 319, 122, 173 is 1

Given Input Data is 825, 319, 122, 173

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 319 is 11 x 29

Prime Factorization of 122 is 2 x 61

Prime Factorization of 173 is 173

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, 319) = 23925

GCD(825, 319) = ( 825 x 319 ) / 23925

GCD(825, 319) = 263175 / 23925

GCD(825, 319) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 122

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

LCM(11, 122) = 1342

GCD(11, 122) = ( 11 x 122 ) / 1342

GCD(11, 122) = 1342 / 1342

GCD(11, 122) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 173

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

LCM(1, 173) = 173

GCD(1, 173) = ( 1 x 173 ) / 173

GCD(1, 173) = 173 / 173

GCD(1, 173) = 1

GCD of 825, 319, 122, 173 is 1

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1. What is the GCD of 825, 319, 122, 173?

GCD of 825, 319, 122, 173 is 1

2. Where do I get the detailed procedure to find GCD of 825, 319, 122, 173?

You can find a detailed procedure to find GCD of 825, 319, 122, 173 on our page.

3. How to find GCD of 825, 319, 122, 173 on a calculator?

You can find the GCD of 825, 319, 122, 173 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.